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31376520806400 = 21535527112389
BaseRepresentation
bin1110010001001011010100…
…11000001000000000000000
311010002120021200102221100000
413020211222120020000000
513103033103311301100
6150422101421200000
76415610302240620
oct710455230100000
9133076250387300
1031376520806400
119aa7787013710
123628b91400000
131467a40908353
147a68bb5aa880
15396296a20900
hex1c896a608000

31376520806400 has 4608 divisors, whose sum is σ = 153342085478400. Its totient is φ = 6166256025600.

The previous prime is 31376520806387. The next prime is 31376520806401. The reversal of 31376520806400 is 460802567313.

31376520806400 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 6 + 520 + 80 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31376520806401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 352545177556 + ... + 352545177644.

It is an arithmetic number, because the mean of its divisors is an integer number (33277362300).

Almost surely, 231376520806400 is an apocalyptic number.

31376520806400 is a gapful number since it is divisible by the number (30) 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 31376520806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76671042739200).

31376520806400 is an abundant number, since it is smaller than the sum of its proper divisors (121965564672000).

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

31376520806400 is an equidigital number, since it uses as much as digits as its factorization.

31376520806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 31376520806400 in words is "thirty-one trillion, three hundred seventy-six billion, five hundred twenty million, eight hundred six thousand, four hundred".