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372137040990 = 2335111364714897
BaseRepresentation
bin1010110101001010001…
…10001001110001011110
31022120112212111101202000
411122211012021301132
522044114040302430
6442542444143130
735612621441241
oct5324506116136
91276485441660
10372137040990
11133905726950
1260157b37aa6
1329127c32b50
14140238c7258
159a30701e60
hex56a5189c5e

372137040990 has 256 divisors, whose sum is σ = 1167736227840. Its totient is φ = 83141130240.

The previous prime is 372137040983. The next prime is 372137041033. The reversal of 372137040990 is 99040731273.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24973222 + ... + 24988118.

It is an arithmetic number, because the mean of its divisors is an integer number (4561469640).

Almost surely, 2372137040990 is an apocalyptic number.

372137040990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 372137040990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583868113920).

372137040990 is an abundant number, since it is smaller than the sum of its proper divisors (795599186850).

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

372137040990 is a wasteful number, since it uses less digits than its factorization.

372137040990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15584 (or 15578 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

It can be divided in two parts, 37213 and 7040990, that added together give a triangular number (7078203 = T3762).

The spelling of 372137040990 in words is "three hundred seventy-two billion, one hundred thirty-seven million, forty thousand, nine hundred ninety".