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100645024516 = 22127212492
BaseRepresentation
bin101110110111011101…
…0010011001100000100
3100121210010100222112121
41131232322103030010
53122110111241031
6114122524055324
710162035410311
oct1355672231404
9317703328477
10100645024516
1139757546613
1217609994544
13964c340b5a
144c2a9a7d08
152940b9d011
hex176ee93304

100645024516 has 27 divisors (see below), whose sum is σ = 177668802549. Its totient is φ = 49886299008.

The previous prime is 100645024511. The next prime is 100645024549. The reversal of 100645024516 is 615420546001.

The square root of 100645024516 is 317246.

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., 41187078916 + 59457945600 = 202946^2 + 243840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100645024511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80579860 + ... + 80581108.

Almost surely, 2100645024516 is an apocalyptic number.

100645024516 is the 317246-th square number.

It is an amenable number.

100645024516 is a deficient number, since it is larger than the sum of its proper divisors (77023778033).

100645024516 is an frugal number, since it uses more digits than its factorization.

100645024516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 100645024516 in words is "one hundred billion, six hundred forty-five million, twenty-four thousand, five hundred sixteen".

Divisors: 1 2 4 127 254 508 1249 2498 4996 16129 32258 64516 158623 317246 634492 1560001 3120002 6240004 20145121 40290242 80580484 198120127 396240254 792480508 25161256129 50322512258 100645024516