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9990802116 = 22386172
BaseRepresentation
bin10010100110111111…
…11000101011000100
3221210021110100000000
421103133320223010
5130430121131431
64331213321300
7502403262651
oct112337705304
927707410000
109990802116
114267602559
121b29a96230
13c32b19a39
146aac4ac28
153d71929e6
hex2537f8ac4

9990802116 has 81 divisors (see below), whose sum is σ = 26267095309. Its totient is φ = 3324869856.

The previous prime is 9990802061. The next prime is 9990802163. The reversal of 9990802116 is 6112080999.

The square root of 9990802116 is 99954.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 289340100 + 9701462016 = 17010^2 + 98496^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×99908021162 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16192240 + ... + 16192856.

Almost surely, 29990802116 is an apocalyptic number.

9990802116 is the 99954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9990802116

9990802116 is an abundant number, since it is smaller than the sum of its proper divisors (16276293193).

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

9990802116 is an frugal number, since it uses more digits than its factorization.

9990802116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The cubic root of 9990802116 is about 2153.7739460634.

The spelling of 9990802116 in words is "nine billion, nine hundred ninety million, eight hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 617 729 972 1234 1458 1851 2187 2468 2916 3702 4374 5553 6561 7404 8748 11106 13122 16659 22212 26244 33318 49977 66636 99954 149931 199908 299862 380689 449793 599724 761378 899586 1142067 1349379 1522756 1799172 2284134 2698758 3426201 4048137 4568268 5397516 6852402 8096274 10278603 13704804 16192548 20557206 30835809 41114412 61671618 92507427 123343236 185014854 277522281 370029708 555044562 832566843 1110089124 1665133686 2497700529 3330267372 4995401058 9990802116