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5604207616 = 21072611831
BaseRepresentation
bin1010011100000100…
…10110110000000000
3112110120022020121001
411032002112300000
542434134120431
62324033341344
7255606656500
oct51602266000
915416266531
105604207616
11241647a147
121104a07854
136b409b6a7
143b2421a00
1522c005e61
hex14e096c00

5604207616 has 132 divisors (see below), whose sum is σ = 13252867536. Its totient is φ = 2361139200.

The previous prime is 5604207611. The next prime is 5604207617. The reversal of 5604207616 is 6167024065.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5604207611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3059821 + ... + 3061651.

Almost surely, 25604207616 is an apocalyptic number.

5604207616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5604207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626433768).

5604207616 is an abundant number, since it is smaller than the sum of its proper divisors (7648659920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5604207616 is a wasteful number, since it uses less digits than its factorization.

5604207616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 5604207616 is about 74861.2557735976. The cubic root of 5604207616 is about 1776.2526491746.

The spelling of 5604207616 in words is "five billion, six hundred four million, two hundred seven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 256 392 427 448 488 512 784 854 896 976 1024 1568 1708 1792 1831 1952 2989 3136 3416 3584 3662 3904 5978 6272 6832 7168 7324 7808 11956 12544 12817 13664 14648 15616 23912 25088 25634 27328 29296 31232 47824 50176 51268 54656 58592 62464 89719 95648 102536 109312 111691 117184 179438 191296 205072 218624 223382 234368 358876 382592 410144 437248 446764 468736 717752 765184 781837 820288 893528 937472 1435504 1530368 1563674 1640576 1787056 1874944 2871008 3060736 3127348 3281152 3574112 5472859 5742016 6254696 6562304 7148224 10945718 11484032 12509392 13124608 14296448 21891436 22968064 25018784 28592896 43782872 45936128 50037568 57185792 87565744 91872256 100075136 114371584 175131488 200150272 350262976 400300544 700525952 800601088 1401051904 2802103808 5604207616