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9628050432 = 21037111331101
BaseRepresentation
bin10001111011110000…
…00110010000000000
3220211222212122020110
420331320012100000
5124204240103212
64231214311320
7460410035610
oct107570062000
926758778213
109628050432
1140a0868880
121a484b8540
13ba591a680
146749c0a40
153b53daa3c
hex23de06400

9628050432 has 704 divisors, whose sum is σ = 35919249408. Its totient is φ = 2211840000.

The previous prime is 9628050427. The next prime is 9628050449. The reversal of 9628050432 is 2340508269.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×96280504322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95327182 + ... + 95327282.

Almost surely, 29628050432 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 9628050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959624704).

9628050432 is an abundant number, since it is smaller than the sum of its proper divisors (26291198976).

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

9628050432 is a wasteful number, since it uses less digits than its factorization.

9628050432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 9628050432 is about 98122.6295611772. The cubic root of 9628050432 is about 2127.3851277223.

The spelling of 9628050432 in words is "nine billion, six hundred twenty-eight million, fifty thousand, four hundred thirty-two".