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2151024362656 = 251315973323717
BaseRepresentation
bin11111010011010011000…
…010110000010010100000
321121122011120211101020021
4133103103002300102200
5240220244214101111
64324100021123224
7311256250256251
oct37232302602240
97548146741207
102151024362656
1175a2761a2844
122a8a71859514
13127ac1100a80
14761782d0b28
153ae469a1d71
hex1f4d30b04a0

2151024362656 has 48 divisors (see below), whose sum is σ = 4560884914824. Its totient is φ = 992715254784.

The previous prime is 2151024362633. The next prime is 2151024362713. The reversal of 2151024362656 is 6562634201512.

It can be written as a sum of positive squares in 4 ways, for example, as 2015025674256 + 135998688400 = 1419516^2 + 368780^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6482910 + ... + 6806626.

Almost surely, 22151024362656 is an apocalyptic number.

2151024362656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2151024362656 is an abundant number, since it is smaller than the sum of its proper divisors (2409860552168).

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

2151024362656 is a wasteful number, since it uses less digits than its factorization.

2151024362656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339713 (or 339705 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 2151024362656 in words is "two trillion, one hundred fifty-one billion, twenty-four million, three hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 15973 31946 63892 127784 207649 255568 323717 415298 511136 647434 830596 1294868 1661192 2589736 3322384 4208321 5179472 6644768 8416642 10358944 16833284 33666568 67333136 134666272 5170731641 10341463282 20682926564 41365853128 67219511333 82731706256 134439022666 165463412512 268878045332 537756090664 1075512181328 2151024362656