Search a number
-
+
20289430704 = 2433759227853
BaseRepresentation
bin10010111001010110…
…000010010010110000
31221101000010212112110
4102321112002102300
5313023043240304
613153144525320
71315535213124
oct227126022260
957330125473
1020289430704
118671944654
123b22a80840
131bb46449ca
14da6907584
157db38d289
hex4b95824b0

20289430704 has 160 divisors (see below), whose sum is σ = 55048976640. Its totient is φ = 6432777216.

The previous prime is 20289430673. The next prime is 20289430727. The reversal of 20289430704 is 40703498202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23785542 + ... + 23786394.

It is an arithmetic number, because the mean of its divisors is an integer number (344056104).

Almost surely, 220289430704 is an apocalyptic number.

20289430704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20289430704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27524488320).

20289430704 is an abundant number, since it is smaller than the sum of its proper divisors (34759545936).

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

20289430704 is a wasteful number, since it uses less digits than its factorization.

20289430704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 20289430704 in words is "twenty billion, two hundred eighty-nine million, four hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 59 74 111 118 148 177 222 227 236 296 354 444 454 472 592 681 708 853 888 908 944 1362 1416 1706 1776 1816 2183 2559 2724 2832 3412 3632 4366 5118 5448 6549 6824 8399 8732 10236 10896 13098 13393 13648 16798 17464 20472 25197 26196 26786 31561 33596 34928 40179 40944 50327 50394 52392 53572 63122 67192 80358 94683 100654 100788 104784 107144 126244 134384 150981 160716 189366 193631 201308 201576 214288 252488 301962 321432 378732 387262 402616 403152 495541 504976 580893 603924 642864 757464 774524 805232 991082 1161786 1207848 1486623 1514928 1549048 1862099 1982164 2323572 2415696 2973246 3098096 3724198 3964328 4647144 5586297 5946492 7164347 7448396 7928656 9294288 11172594 11424229 11892984 14328694 14896792 21493041 22345188 22848458 23785968 28657388 29793584 34272687 42986082 44690376 45696916 57314776 68545374 85972164 89380752 91393832 114629552 137090748 171944328 182787664 274181496 343888656 422696473 548362992 845392946 1268089419 1690785892 2536178838 3381571784 5072357676 6763143568 10144715352 20289430704