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2780572925025 = 325272158812
BaseRepresentation
bin101000011101100111000…
…011111011110001100001
3100211211010220111221002100
4220131213003323301201
5331024103132100100
65525213315441013
7404614121615400
oct50354703736141
910754126457070
102780572925025
11982263a21615
1238aa882b6169
1317228c7421bc
149881aa69637
154c4e09c4400
hex287670fbc61

2780572925025 has 81 divisors (see below), whose sum is σ = 5793792549753. Its totient is φ = 1271039011200.

The previous prime is 2780572925003. The next prime is 2780572925059. The reversal of 2780572925025 is 5205292750872.

The square root of 2780572925025 is 1667505.

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

2780572925025 is a `hidden beast` number, since 2 + 7 + 80 + 57 + 2 + 9 + 2 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 399736269009 + 2380836656016 = 632247^2 + 1542996^2 .

It is not a de Polignac number, because 2780572925025 - 27 = 2780572924897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 175080085 + ... + 175095965.

Almost surely, 22780572925025 is an apocalyptic number.

2780572925025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2780572925025 is the 1667505-th square number.

2780572925025 is the 833753-rd centered octagonal number.

It is an amenable number.

2780572925025 is an abundant number, since it is smaller than the sum of its proper divisors (3013219624728).

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

2780572925025 is an frugal number, since it uses more digits than its factorization.

2780572925025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31792 (or 15896 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 2780572925025 in words is "two trillion, seven hundred eighty billion, five hundred seventy-two million, nine hundred twenty-five thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 15881 47643 79405 111167 142929 238215 333501 397025 555835 714645 778169 1000503 1191075 1667505 2334507 2779175 3573225 3890845 5002515 7003521 8337525 11672535 19454225 25012575 35017605 58362675 175088025 252206161 756618483 1261030805 1765443127 2269855449 3783092415 5296329381 6305154025 8827215635 11349277245 12358101889 15888988143 18915462075 26481646905 37074305667 44136078175 56746386225 61790509445 79444940715 111222917001 132408234525 185371528335 308952547225 397224703575 556114585005 926857641675 2780572925025