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870653215744 = 21013222432
BaseRepresentation
bin11001010101101101111…
…10011100010000000000
310002020022022121222101221
430222312332130100000
5103231044210400434
61503550024004424
7116621412140524
oct14526676342000
93066268558357
10870653215744
11306273051494
121208a4000714
1364143832900
14301d5a17d84
15179aae332b4
hexcab6f9c400

870653215744 has 99 divisors (see below), whose sum is σ = 1885476591093. Its totient is φ = 401660792832.

The previous prime is 870653215711. The next prime is 870653215811. The reversal of 870653215744 is 447512356078.

The square root of 870653215744 is 933088.

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., 128794854400 + 741858361344 = 358880^2 + 861312^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 870653215691 and 870653215700.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 388163487 + ... + 388165729.

Almost surely, 2870653215744 is an apocalyptic number.

870653215744 is the 933088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870653215744

870653215744 is an abundant number, since it is smaller than the sum of its proper divisors (1014823375349).

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

870653215744 is an frugal number, since it uses more digits than its factorization.

870653215744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 52.

The spelling of 870653215744 in words is "eight hundred seventy billion, six hundred fifty-three million, two hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2243 2704 3328 4486 5408 6656 8972 10816 13312 17944 21632 29159 35888 43264 58318 71776 86528 116636 143552 173056 233272 287104 379067 466544 574208 758134 933088 1148416 1516268 1866176 2296832 3032536 3732352 5031049 6065072 7464704 10062098 12130144 14929408 20124196 24260288 29858816 40248392 48520576 65403637 80496784 97041152 130807274 160993568 194082304 261614548 321987136 388164608 523229096 643974272 850247281 1046458192 1287948544 1700494562 2092916384 2575897088 3400989124 4185832768 5151794176 6801978248 8371665536 13603956496 16743331072 27207912992 33486662144 54415825984 66973324288 108831651968 217663303936 435326607872 870653215744