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870897701961 = 3472148132
BaseRepresentation
bin11001010110001011000…
…11000101010001001001
310002020221100200011110000
430223011203011101021
5103232044302430321
61504030200113213
7116630441216400
oct14530543052111
93066840604400
10870897701961
11306389059611
12120951a65809
1364182394701
143021a29a637
15179c2628826
hexcac58c5449

870897701961 has 45 divisors (see below), whose sum is σ = 1513476183351. Its totient is φ = 497622233808.

The previous prime is 870897701959. The next prime is 870897701969. The reversal of 870897701961 is 169107798078.

The square root of 870897701961 is 933219.

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., 259442516025 + 611455185936 = 509355^2 + 781956^2 .

It is not a de Polignac number, because 870897701961 - 21 = 870897701959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (870897701969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58785391 + ... + 58800203.

Almost surely, 2870897701961 is an apocalyptic number.

870897701961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

870897701961 is the 933219-th square number.

870897701961 is the 466610-th centered octagonal number.

It is an amenable number.

870897701961 is a deficient number, since it is larger than the sum of its proper divisors (642578481390).

870897701961 is an frugal number, since it uses more digits than its factorization.

870897701961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29652 (or 14823 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 63.

The spelling of 870897701961 in words is "eight hundred seventy billion, eight hundred ninety-seven million, seven hundred one thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 14813 44439 103691 133317 311073 399951 725837 933219 1199853 2177511 2799657 6532533 8398971 19597599 58792797 219424969 658274907 1535974783 1974824721 4607924349 5924474163 10751823481 13823773047 17773422489 32255470443 41471319141 96766411329 124413957423 290299233987 870897701961