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643531610225556 = 223313458355847739
BaseRepresentation
bin1001001001010010011110000…
…1000001110111101110010100
310010101120000120101112000022000
42102110213201001313232110
51133322110214204204211
610200402201312235300
7252356424134045433
oct22224474101675624
93111500511460260
10643531610225556
1117705a250157538
12602148a223bb30
1321810a028c0310
14b4cb14baa511a
154e5eb02409656
hex24949e1077b94

643531610225556 has 48 divisors (see below), whose sum is σ = 1796754923140800. Its totient is φ = 198009726222816.

The previous prime is 643531610225437. The next prime is 643531610225557. The reversal of 643531610225556 is 655522016135346.

643531610225556 is a `hidden beast` number, since 6 + 4 + 3 + 5 + 3 + 1 + 61 + 0 + 2 + 25 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643531610225557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229177922466 + ... + 229177925273.

It is an arithmetic number, because the mean of its divisors is an integer number (37432394232100).

Almost surely, 2643531610225556 is an apocalyptic number.

It is an amenable number.

643531610225556 is an abundant number, since it is smaller than the sum of its proper divisors (1153223312915244).

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

643531610225556 is a wasteful number, since it uses less digits than its factorization.

643531610225556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458355847765 (or 458355847757 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 643531610225556 in words is "six hundred forty-three trillion, five hundred thirty-one billion, six hundred ten million, two hundred twenty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 458355847739 916711695478 1375067543217 1833423390956 2750135086434 4125202629651 5500270172868 5958626020607 8250405259302 11917252041214 12375607888953 16500810518604 17875878061821 23834504082428 24751215777906 35751756123642 49502431555812 53627634185463 71503512247284 107255268370926 160882902556389 214510536741852 321765805112778 643531610225556