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48793275664 = 2478232
BaseRepresentation
bin101101011100010011…
…100100110100010000
311122221111011020000221
4231130103210310100
51244412034310124
634225413122424
73345100000000
oct553423446420
9148844136027
1048793275664
1119769594211
129558929414
1347a7a62963
14250c370000
15140897bce4
hexb5c4e4d10

48793275664 has 135 divisors (see below), whose sum is σ = 115296977943. Its totient is φ = 20002212384.

The previous prime is 48793275659. The next prime is 48793275683. The reversal of 48793275664 is 46657239784.

The square root of 48793275664 is 220892.

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

Its product of digits (60963840) is a multiple of the sum of its prime divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2121446757 + ... + 2121446779.

Almost surely, 248793275664 is an apocalyptic number.

48793275664 is the 220892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48793275664

48793275664 is an abundant number, since it is smaller than the sum of its proper divisors (66503702279).

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

48793275664 is an frugal number, since it uses more digits than its factorization.

48793275664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 32 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 61.

The spelling of 48793275664 in words is "forty-eight billion, seven hundred ninety-three million, two hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 343 368 392 529 644 686 784 1058 1127 1288 1372 2116 2254 2401 2576 2744 3703 4232 4508 4802 5488 7406 7889 8464 9016 9604 14812 15778 16807 18032 19208 25921 29624 31556 33614 38416 51842 55223 59248 63112 67228 103684 110446 117649 126224 134456 181447 207368 220892 235298 268912 362894 386561 414736 441784 470596 725788 773122 823543 883568 941192 1270129 1451576 1546244 1647086 1882384 2540258 2705927 2903152 3092488 3294172 5080516 5411854 5764801 6184976 6588344 8890903 10161032 10823708 11529602 13176688 17781806 18941489 20322064 21647416 23059204 35563612 37882978 43294832 46118408 62236321 71127224 75765956 92236816 124472642 132590423 142254448 151531912 248945284 265180846 303063824 435654247 497890568 530361692 871308494 995781136 1060723384 1742616988 2121446768 3049579729 3485233976 6099159458 6970467952 12198318916 24396637832 48793275664