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101456264484 = 2232530872
BaseRepresentation
bin101111001111101000…
…0111011110100100100
3100200212122212020120100
41132133100323310210
53130240300430414
6114335223504100
710221116006361
oct1363720736444
9320778766510
10101456264484
113a033464173
12177b55b8030
13974b42aac3
144ca661b468
15298bee5609
hex179f43bd24

101456264484 has 27 divisors (see below), whose sum is σ = 256463721787. Its totient is φ = 33818117784.

The previous prime is 101456264443. The next prime is 101456264513. The reversal of 101456264484 is 484462654101.

The square root of 101456264484 is 318522.

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

101456264484 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 562 + 6 + 4 + 4 + 84 = 666.

It is a super-3 number, since 3×1014562644843 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1884589 + ... + 1937675.

Almost surely, 2101456264484 is an apocalyptic number.

101456264484 is the 318522-nd square number.

It is an amenable number.

101456264484 is an abundant number, since it is smaller than the sum of its proper divisors (155007457303).

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

101456264484 is an frugal number, since it uses more digits than its factorization.

101456264484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106184 (or 53092 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

It can be divided in two parts, 101456 and 264484, that added together give a triangular number (365940 = T855).

The spelling of 101456264484 in words is "one hundred one billion, four hundred fifty-six million, two hundred sixty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53087 106174 159261 212348 318522 477783 637044 955566 1911132 2818229569 5636459138 8454688707 11272918276 16909377414 25364066121 33818754828 50728132242 101456264484