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993267370384 = 244125921032
BaseRepresentation
bin11100111010000110101…
…10010100100110010000
310111221210111210101220121
432131003112110212100
5112233202421323014
62040144542520024
7131522043226162
oct16350326244620
93457714711817
10993267370384
11353273599693
12140603296014
13728844a7833
1436108208932
151ac85663124
hexe743594990

993267370384 has 135 divisors (see below), whose sum is σ = 2026207893729. Its totient is φ = 471684099840.

The previous prime is 993267370379. The next prime is 993267370397. The reversal of 993267370384 is 483073762399.

The square root of 993267370384 is 996628.

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., 47861187984 + 945406182400 = 218772^2 + 972320^2 .

It is a Duffinian number.

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, 9643372477 + ... + 9643372579.

Almost surely, 2993267370384 is an apocalyptic number.

993267370384 is the 996628-th square number.

It is an amenable number.

993267370384 is an abundant number, since it is smaller than the sum of its proper divisors (1032940523345).

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

993267370384 is an equidigital number, since it uses as much as digits as its factorization.

993267370384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 61.

The spelling of 993267370384 in words is "nine hundred ninety-three billion, two hundred sixty-seven million, three hundred seventy thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 41 59 82 103 118 164 206 236 328 412 472 656 824 944 1648 1681 2419 3362 3481 4223 4838 6077 6724 6962 8446 9676 10609 12154 13448 13924 16892 19352 21218 24308 26896 27848 33784 38704 42436 48616 55696 67568 84872 97232 99179 142721 169744 173143 198358 249157 285442 346286 358543 396716 434969 498314 570884 625931 692572 717086 793432 869938 996628 1141768 1251862 1385144 1434172 1586864 1739876 1993256 2283536 2503724 2770288 2868344 3479752 3986512 5007448 5736688 5851561 6959504 10014896 10215437 11703122 14700263 17833729 20430874 23406244 25663171 29400526 35667458 36929929 40861748 46812488 51326342 58801052 71334916 73859858 81723496 93624976 102652684 117602104 142669832 147719716 163446992 205305368 235204208 285339664 295439432 410610736 590878864 602710783 1052190011 1205421566 1514127089 2104380022 2410843132 3028254178 4208760044 4821686264 6056508356 8417520088 9643372528 12113016712 16835040176 24226033424 62079210649 124158421298 248316842596 496633685192 993267370384