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9937402020 = 2232571317127281
BaseRepresentation
bin10010100000101000…
…01011100010100100
3221122112222022211200
421100110023202210
5130322433331040
64322025002500
7501154344360
oct112024134244
927575868750
109937402020
11423a44a247
121b14023430
13c24a40b50
146a3b0a2a0
153d2645630
hex25050b8a4

9937402020 has 576 divisors, whose sum is σ = 39732166656. Its totient is φ = 1950842880.

The previous prime is 9937401979. The next prime is 9937402031. The reversal of 9937402020 is 202047399.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35364280 + ... + 35364560.

It is an arithmetic number, because the mean of its divisors is an integer number (68979456).

Almost surely, 29937402020 is an apocalyptic number.

9937402020 is a gapful number since it is divisible by the number (90) 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 9937402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19866083328).

9937402020 is an abundant number, since it is smaller than the sum of its proper divisors (29794764636).

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

9937402020 is a wasteful number, since it uses less digits than its factorization.

9937402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9937402020 is about 99686.5187475217. The cubic root of 9937402020 is about 2149.9298350998.

The spelling of 9937402020 in words is "nine billion, nine hundred thirty-seven million, four hundred two thousand, twenty".