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44910666601944 = 233111359221794213
BaseRepresentation
bin10100011011000100101000…
…10101000101010111011000
312220000102021120111022120020
422031202110111011113120
521341304021122230234
6235303401520030440
712313455120333213
oct1215422425052730
9186012246438506
1044910666601944
1113345563529440
125053ba3462420
131c0a099984280
14b1398b6c677a
1552d369888549
hex28d8945455d8

44910666601944 has 128 divisors (see below), whose sum is σ = 134141140627200. Its totient is φ = 12349501724160.

The previous prime is 44910666601901. The next prime is 44910666601967.

44910666601944 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 110694619 + ... + 111099594.

It is an arithmetic number, because the mean of its divisors is an integer number (1047977661150).

Almost surely, 244910666601944 is an apocalyptic number.

44910666601944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44910666601944 is an abundant number, since it is smaller than the sum of its proper divisors (89230474025256).

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

44910666601944 is a wasteful number, since it uses less digits than its factorization.

44910666601944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221794305 (or 221794301 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 44910666601944 in words is "forty-four trillion, nine hundred ten billion, six hundred sixty-six million, six hundred one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 59 66 78 88 104 118 132 143 156 177 236 264 286 312 354 429 472 572 649 708 767 858 1144 1298 1416 1534 1716 1947 2301 2596 3068 3432 3894 4602 5192 6136 7788 8437 9204 15576 16874 18408 25311 33748 50622 67496 101244 202488 221794213 443588426 665382639 887176852 1330765278 1774353704 2439736343 2661530556 2883324769 4879472686 5323061112 5766649538 7319209029 8649974307 9758945372 11533299076 13085858567 14638418058 17299948614 19517890744 23066598152 26171717134 29276836116 31716572459 34599897228 39257575701 52343434268 58553672232 63433144918 69199794456 78515151402 95149717377 104686868536 126866289836 143944444237 157030302804 170116161371 190299434754 253732579672 287888888474 314060605608 340232322742 380598869508 431833332711 510348484113 575777776948 680464645484 761197739016 863666665422 1020696968226 1151555553896 1360929290968 1727333330844 1871277775081 2041393936452 3454666661688 3742555550162 4082787872904 5613833325243 7485111100324 11227666650486 14970222200648 22455333300972 44910666601944