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276902213263641 = 34722641332
BaseRepresentation
bin111110111101011101010010…
…000011110010000100011001
31100022102121000100012220110000
4332331131102003302010121
5242243231213043414031
62420531042021243213
7112216344656563200
oct7675352203620431
91308377010186400
10276902213263641
118025862961a419
1227081606b63509
13bb679c74a8314
144c541d2592237
152202cde4d63e6
hexfbd7520f2119

276902213263641 has 45 divisors (see below), whose sum is σ = 481179590661231. Its totient is φ = 158229237097008.

The previous prime is 276902213263639. The next prime is 276902213263721. The reversal of 276902213263641 is 146362312209672.

The square root of 276902213263641 is 16640379.

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

276902213263641 is a `hidden beast` number, since 2 + 7 + 6 + 90 + 221 + 326 + 3 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 213397316015625 + 63504897248016 = 14608125^2 + 7968996^2 .

It is not a de Polignac number, because 276902213263641 - 21 = 276902213263639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (276902213263631) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1048211811 + ... + 1048475943.

Almost surely, 2276902213263641 is an apocalyptic number.

276902213263641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

276902213263641 is the 16640379-th square number.

276902213263641 is the 8320190-th centered octagonal number.

It is an amenable number.

276902213263641 is a deficient number, since it is larger than the sum of its proper divisors (204277377397590).

276902213263641 is an frugal number, since it uses more digits than its factorization.

276902213263641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528292 (or 264143 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 276902213263641 in words is "two hundred seventy-six trillion, nine hundred two billion, two hundred thirteen million, two hundred sixty-three thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 264133 792399 1848931 2377197 5546793 7131591 12942517 16640379 21394773 38827551 49921137 116482653 149763411 349447959 1048343877 69766241689 209298725067 488363691823 627896175201 1465091075469 1883688525603 3418545842761 4395273226407 5651065576809 10255637528283 13185819679221 30766912584849 39557459037663 92300737754547 276902213263641