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3528664568676 = 2232132240832
BaseRepresentation
bin110011010110010100110…
…011000101001101100100
3110111100002200220221200100
4303112110303011031210
5430303201112144201
611301013543544100
7512636411642502
oct63262463051544
913440080827610
103528664568676
11114055317a955
1248ba6675b030
131c79a0480900
14c2b0705d672
1561bc6b12886
hex33594cc5364

3528664568676 has 81 divisors (see below), whose sum is σ = 9658989345369. Its totient is φ = 1085697860832.

The previous prime is 3528664568567. The next prime is 3528664568683. The reversal of 3528664568676 is 6768654668253.

The square root of 3528664568676 is 1878474.

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

3528664568676 is a `hidden beast` number, since 3 + 5 + 28 + 6 + 6 + 456 + 86 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 521991800100 + 3006672768576 = 722490^2 + 1733976^2 .

It is a super-2 number, since 2×35286645686762 (a number of 26 digits) contains 22 as substring.

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, 146508931 + ... + 146533013.

Almost surely, 23528664568676 is an apocalyptic number.

3528664568676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3528664568676 is the 1878474-th square number.

It is an amenable number.

3528664568676 is an abundant number, since it is smaller than the sum of its proper divisors (6130324776693).

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

3528664568676 is an equidigital number, since it uses as much as digits as its factorization.

3528664568676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48202 (or 24101 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 3528664568676 in words is "three trillion, five hundred twenty-eight billion, six hundred sixty-four million, five hundred sixty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 24083 48166 72249 96332 144498 216747 288996 313079 433494 626158 866988 939237 1252316 1878474 2817711 3756948 4070027 5635422 8140054 11270844 12210081 16280108 24420162 36630243 48840324 73260486 146520972 579990889 1159981778 1739972667 2319963556 3479945334 5219918001 6959890668 7539881557 10439836002 15079763114 20879672004 22619644671 30159526228 45239289342 67858934013 90478578684 98018460241 135717868026 196036920482 271435736052 294055380723 392073840964 588110761446 882166142169 1176221522892 1764332284338 3528664568676