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31970323840 = 2757132329823
BaseRepresentation
bin11101110001100101…
…000110110110000000
310001112001210201120011
4131301211012312000
51010433400330330
622404214554304
72211153161140
oct356145066600
9101461721504
1031970323840
1112616461544
126242968994
13302664b9b0
141793dba920
15c71ac882a
hex771946d80

31970323840 has 512 divisors, whose sum is σ = 101664460800. Its totient is φ = 9333080064.

The previous prime is 31970323787. The next prime is 31970323843. The reversal of 31970323840 is 4832307913.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 31970323793 and 31970323802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31970323843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38845669 + ... + 38846491.

It is an arithmetic number, because the mean of its divisors is an integer number (198563400).

Almost surely, 231970323840 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 31970323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50832230400).

31970323840 is an abundant number, since it is smaller than the sum of its proper divisors (69694136960).

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

31970323840 is a wasteful number, since it uses less digits than its factorization.

31970323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 31970323840 in words is "thirty-one billion, nine hundred seventy million, three hundred twenty-three thousand, eight hundred forty".