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749457266944 = 286128872
BaseRepresentation
bin10101110011111110010…
…00100101100100000000
32122122110222001212120111
422321333020211210000
544234342030020234
61332143530121104
7105101151442111
oct12717710454400
92578428055514
10749457266944
112699300a8331
121012bb880194
135589a942039
14283b9918208
1514765e92664
hexae7f225900

749457266944 has 81 divisors (see below), whose sum is σ = 1522629986241. Its totient is φ = 368169999360.

The previous prime is 749457266927. The next prime is 749457266951. The reversal of 749457266944 is 449662754947.

The square root of 749457266944 is 865712.

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., 24370956544 + 725086310400 = 156112^2 + 851520^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 749457266944.

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, 844934469 + ... + 844935355.

Almost surely, 2749457266944 is an apocalyptic number.

749457266944 is the 865712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749457266944

749457266944 is an abundant number, since it is smaller than the sum of its proper divisors (773172719297).

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

749457266944 is an frugal number, since it uses more digits than its factorization.

749457266944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 950 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 67.

The spelling of 749457266944 in words is "seven hundred forty-nine billion, four hundred fifty-seven million, two hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 887 976 1774 1952 3548 3721 3904 7096 7442 7808 14192 14884 15616 28384 29768 54107 56768 59536 108214 113536 119072 216428 227072 238144 432856 476288 786769 865712 952576 1573538 1731424 3147076 3300527 3462848 6294152 6601054 6925696 12588304 13202108 13851392 25176608 26404216 47992909 50353216 52808432 95985818 100706432 105616864 191971636 201412864 211233728 383943272 422467456 767886544 844934912 1535773088 2927567449 3071546176 5855134898 6143092352 11710269796 12286184704 23420539592 46841079184 93682158368 187364316736 374728633472 749457266944