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4124511312 = 243293195581
BaseRepresentation
bin1111010111010111…
…0000110001010000
3101122102222212212020
43311311300301100
531421333330222
61521134331440
7204131524215
oct36565606120
911572885766
104124511312
1118271a7439
12971359b80
13509667b4c
142b1ac5b0c
1519216c65c
hexf5d70c50

4124511312 has 80 divisors (see below), whose sum is σ = 11378081280. Its totient is φ = 1284595200.

The previous prime is 4124511301. The next prime is 4124511331. The reversal of 4124511312 is 2131154214.

4124511312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41245113122 = 34023187125631922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4639 + ... + 90942.

It is an arithmetic number, because the mean of its divisors is an integer number (142226016).

Almost surely, 24124511312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124511312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689040640).

4124511312 is an abundant number, since it is smaller than the sum of its proper divisors (7253569968).

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

4124511312 is a wasteful number, since it uses less digits than its factorization.

4124511312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95652 (or 95646 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 4124511312 is about 64222.3583497212. The cubic root of 4124511312 is about 1603.7038298286.

Adding to 4124511312 its reverse (2131154214), we get a palindrome (6255665526).

The spelling of 4124511312 in words is "four billion, one hundred twenty-four million, five hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 186 232 248 348 372 464 496 696 744 899 1392 1488 1798 2697 3596 5394 7192 10788 14384 21576 43152 95581 191162 286743 382324 573486 764648 1146972 1529296 2293944 2771849 2963011 4587888 5543698 5926022 8315547 8889033 11087396 11852044 16631094 17778066 22174792 23704088 33262188 35556132 44349584 47408176 66524376 71112264 85927319 133048752 142224528 171854638 257781957 343709276 515563914 687418552 1031127828 1374837104 2062255656 4124511312