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9902090752 = 2925775253
BaseRepresentation
bin10010011100011010…
…11110101000000000
3221120002112022212221
421032031132220000
5130234413401002
64314324100424
7500245245151
oct111615365000
927502468787
109902090752
114221521384
121b04234714
13c1a6294c8
1469d157928
153ce4bcc37
hex24e35ea00

9902090752 has 40 divisors (see below), whose sum is σ = 19862089236. Its totient is φ = 4931715072.

The previous prime is 9902090743. The next prime is 9902090761. The reversal of 9902090752 is 2570902099.

It is an interprime number because it is at equal distance from previous prime (9902090743) and next prime (9902090761).

It can be written as a sum of positive squares in 2 ways, for example, as 8146145536 + 1755945216 = 90256^2 + 41904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9902090699 and 9902090708.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93958 + ... + 169210.

Almost surely, 29902090752 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 9902090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9931044618).

9902090752 is an abundant number, since it is smaller than the sum of its proper divisors (9959998484).

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

9902090752 is an equidigital number, since it uses as much as digits as its factorization.

9902090752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75528 (or 75512 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 9902090752 is about 99509.2495801270. The cubic root of 9902090752 is about 2147.3803140589.

The spelling of 9902090752 in words is "nine billion, nine hundred two million, ninety thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1028 2056 4112 8224 16448 32896 65792 75253 131584 150506 301012 602024 1204048 2408096 4816192 9632384 19264768 19340021 38529536 38680042 77360084 154720168 309440336 618880672 1237761344 2475522688 4951045376 9902090752