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7445055420 = 223251159101631
BaseRepresentation
bin1101110111100001…
…01000011110111100
3201012212012000001100
412323300220132330
5110221413233140
63230433213100
7352331632635
oct67360503674
921185160040
107445055420
1131805a3370
121539401190
1391859114a
14508acc88c
152d892c530
hex1bbc287bc

7445055420 has 288 divisors, whose sum is σ = 25342087680. Its totient is φ = 1753920000.

The previous prime is 7445055419. The next prime is 7445055451. The reversal of 7445055420 is 245505447.

It is a happy number.

7445055420 is a `hidden beast` number, since 74 + 45 + 0 + 5 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11798505 + ... + 11799135.

It is an arithmetic number, because the mean of its divisors is an integer number (87993360).

Almost surely, 27445055420 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 7445055420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671043840).

7445055420 is an abundant number, since it is smaller than the sum of its proper divisors (17897032260).

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

7445055420 is a wasteful number, since it uses less digits than its factorization.

7445055420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 7445055420 is about 86284.7345710700. The cubic root of 7445055420 is about 1952.6420832806.

The spelling of 7445055420 in words is "seven billion, four hundred forty-five million, fifty-five thousand, four hundred twenty".