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13054890564 = 223213721392
BaseRepresentation
bin11000010100010000…
…11101001001000100
31020200211002011011100
430022020131021010
5203214022444224
65555231340100
7641340511302
oct141210351104
936624064140
1013054890564
11559a166561
122644081630
131300880121
148bbb77272
15516195ac9
hex30a21d244

13054890564 has 81 divisors (see below), whose sum is σ = 33483370557. Its totient is φ = 4288788288.

The previous prime is 13054890559. The next prime is 13054890599. The reversal of 13054890564 is 46509845031.

The square root of 13054890564 is 114258.

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

13054890564 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 4 + 89 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7668504900 + 5386385664 = 87570^2 + 73392^2 .

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, 93920007 + ... + 93920145.

Almost surely, 213054890564 is an apocalyptic number.

13054890564 is the 114258-th square number.

It is an amenable number.

13054890564 is an abundant number, since it is smaller than the sum of its proper divisors (20428479993).

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

13054890564 is a wasteful number, since it uses less digits than its factorization.

13054890564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13054890564 in words is "thirteen billion, fifty-four million, eight hundred ninety thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 137 139 274 278 411 417 548 556 822 834 1233 1251 1644 1668 2466 2502 4932 5004 18769 19043 19321 37538 38086 38642 56307 57129 57963 75076 76172 77284 112614 114258 115926 168921 171387 173889 225228 228516 231852 337842 342774 347778 675684 685548 695556 2608891 2646977 5217782 5293954 7826673 7940931 10435564 10587908 15653346 15881862 23480019 23822793 31306692 31763724 46960038 47645586 93920076 95291172 362635849 725271698 1087907547 1450543396 2175815094 3263722641 4351630188 6527445282 13054890564