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45199610404 = 22134172372
BaseRepresentation
bin101010000110000110…
…110101001000100100
311022200001001010001121
4222012012311020210
51220032100013104
632433040303324
73160042230544
oct520606651044
9138601033047
1045199610404
1118195002323
128915311b44
134354390000
14228ad8d324
15129821c254
hexa861b5224

45199610404 has 135 divisors (see below), whose sum is σ = 93554538063. Its totient is φ = 19103565312.

The previous prime is 45199610389. The next prime is 45199610429. The reversal of 45199610404 is 40401699154.

The square root of 45199610404 is 212602.

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

It can be written as a sum of positive squares in 22 ways, for example, as 45157100004 + 42510400 = 212502^2 + 6520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1221611074 + ... + 1221611110.

Almost surely, 245199610404 is an apocalyptic number.

45199610404 is the 212602-nd square number.

It is an amenable number.

45199610404 is an abundant number, since it is smaller than the sum of its proper divisors (48354927659).

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

45199610404 is an equidigital number, since it uses as much as digits as its factorization.

45199610404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

It can be divided in two parts, 451996 and 10404, that added together give a square (462400 = 6802).

The spelling of 45199610404 in words is "forty-five billion, one hundred ninety-nine million, six hundred ten thousand, four hundred four".

Divisors: 1 2 4 13 17 26 34 37 52 68 74 148 169 221 289 338 442 481 578 629 676 884 962 1156 1258 1369 1924 2197 2516 2738 2873 3757 4394 5476 5746 6253 7514 8177 8788 10693 11492 12506 15028 16354 17797 21386 23273 25012 28561 32708 35594 37349 42772 46546 48841 57122 71188 74698 81289 93092 97682 106301 114244 139009 149396 162578 195364 212602 231361 278018 302549 325156 395641 425204 462722 485537 556036 605098 634933 791282 925444 971074 1056757 1210196 1269866 1381913 1582564 1807117 1942148 2113514 2539732 2763826 3007693 3614234 3933137 4227028 5143333 5527652 6015386 7228468 7866274 8254129 10286666 12030772 15732548 16508258 17964869 20573332 23492521 33016516 35929738 39100009 46985042 51130781 66863329 71859476 78200018 93970084 102261562 133726658 156400036 204523124 267453316 305402773 610805546 664700153 869223277 1221611092 1329400306 1738446554 2658800612 3476893108 11299902601 22599805202 45199610404