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372474972334080 = 21132571131721979
BaseRepresentation
bin101010010110000111001011…
…0011010011110100000000000
31210211211021000020122202112200
41110230032112122132200000
5342310112220404142310
63400104350130153200
7141312300021041520
oct12454162632364000
91724737006582480
10372474972334080
11a8755826531000
123593818a722800
1312cab31561b975
1467d9c56065680
152d0dddeb2a9c0
hex152c39669e800

372474972334080 has 6912 divisors, whose sum is σ = 1837544776704000. Its totient is φ = 68137129082880.

The previous prime is 372474972334051. The next prime is 372474972334117. The reversal of 372474972334080 is 80433279474273.

372474972334080 is a `hidden beast` number, since 3 + 7 + 2 + 4 + 7 + 497 + 23 + 3 + 40 + 80 = 666.

It is a super-2 number, since 2×3724749723340802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 372474972333999 and 372474972334017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4714873067481 + ... + 4714873067559.

It is an arithmetic number, because the mean of its divisors is an integer number (265848492000).

Almost surely, 2372474972334080 is an apocalyptic number.

372474972334080 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 372474972334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918772388352000).

372474972334080 is an abundant number, since it is smaller than the sum of its proper divisors (1465069804369920).

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

372474972334080 is a wasteful number, since it uses less digits than its factorization.

372474972334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 63.

The spelling of 372474972334080 in words is "three hundred seventy-two trillion, four hundred seventy-four billion, nine hundred seventy-two million, three hundred thirty-four thousand, eighty".