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1993648644 = 223213191391613
BaseRepresentation
bin111011011010100…
…1010101000000100
312010221101211210200
41312311022220010
513040333224034
6525454450500
7100255506501
oct16665125004
95127354720
101993648644
119333a9809
12477803a30
1325a062470
1414cac44a8
15ba05aa99
hex76d4aa04

1993648644 has 144 divisors (see below), whose sum is σ = 5757460800. Its totient is φ = 576605952.

The previous prime is 1993648639. The next prime is 1993648651. The reversal of 1993648644 is 4468463991.

It is a happy number.

1993648644 is a `hidden beast` number, since 1 + 99 + 36 + 486 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235182 + ... + 1236794.

Almost surely, 21993648644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993648644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878730400).

1993648644 is an abundant number, since it is smaller than the sum of its proper divisors (3763812156).

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

1993648644 is a wasteful number, since it uses less digits than its factorization.

1993648644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1789 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 1993648644 is about 44650.2927649976. The cubic root of 1993648644 is about 1258.5859344103.

The spelling of 1993648644 in words is "one billion, nine hundred ninety-three million, six hundred forty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 139 156 171 228 234 247 278 342 417 468 494 556 684 741 834 988 1251 1482 1613 1668 1807 2223 2502 2641 2964 3226 3614 4446 4839 5004 5282 5421 6452 7228 7923 8892 9678 10564 10842 14517 15846 16263 19356 20969 21684 23769 29034 30647 31692 32526 34333 41938 47538 58068 61294 62907 65052 68666 83876 91941 95076 102999 122588 125814 137332 183882 188721 205998 224207 251628 275823 308997 367764 377442 398411 411996 448414 551646 617994 672621 754884 796822 896828 1103292 1195233 1235988 1345242 1593644 2017863 2390466 2690484 2914691 3585699 4035726 4259933 4780932 5829382 7171398 8071452 8519866 8744073 11658764 12779799 14342796 17039732 17488146 25559598 26232219 34976292 38339397 51119196 52464438 55379129 76678794 104928876 110758258 153357588 166137387 221516516 332274774 498412161 664549548 996824322 1993648644