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3996922124064 = 2533137241150617
BaseRepresentation
bin111010001010011011000…
…111111001011100100000
3112011002202101010101220010
4322022123013321130200
51010441144030432224
612300054412244520
7561524312331642
oct72123307713440
915132671111803
103996922124064
1113010a3380951
12546769170740
1322cba624887c
14db648664892
156de80b81e29
hex3a29b1f9720

3996922124064 has 192 divisors, whose sum is σ = 11169310344192. Its totient is φ = 1249269350400.

The previous prime is 3996922124053. The next prime is 3996922124177. The reversal of 3996922124064 is 4604212296993.

3996922124064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3996922123995 and 3996922124013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26461684 + ... + 26612300.

It is an arithmetic number, because the mean of its divisors is an integer number (58173491376).

Almost surely, 23996922124064 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 3996922124064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584655172096).

3996922124064 is an abundant number, since it is smaller than the sum of its proper divisors (7172388220128).

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

3996922124064 is a wasteful number, since it uses less digits than its factorization.

3996922124064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150939 (or 150931 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 3996922124064 in words is "three trillion, nine hundred ninety-six billion, nine hundred twenty-two million, one hundred twenty-four thousand, sixty-four".