Search a number
-
+
44936397960156 = 223217671291848879
BaseRepresentation
bin10100011011110100100100…
…00010011011001111011100
312220002212200211120202020100
422031322102002123033130
521342214220334211111
6235323255104221100
712315355555302243
oct1215722202331734
9186085624522210
1044936397960156
111335546818273a
125058b8490a790
131c0c63a889111
14b14d0cc4b95a
1552dd73874756
hex28de9209b3dc

44936397960156 has 144 divisors (see below), whose sum is σ = 122160731696640. Its totient is φ = 13876506800640.

The previous prime is 44936397960107. The next prime is 44936397960193. The reversal of 44936397960156 is 65106979363944.

44936397960156 is a `hidden beast` number, since 4 + 4 + 9 + 3 + 6 + 3 + 9 + 7 + 9 + 601 + 5 + 6 = 666.

44936397960156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52511725 + ... + 53360603.

It is an arithmetic number, because the mean of its divisors is an integer number (848338414560).

Almost surely, 244936397960156 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 44936397960156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61080365848320).

44936397960156 is an abundant number, since it is smaller than the sum of its proper divisors (77224333736484).

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

44936397960156 is a wasteful number, since it uses less digits than its factorization.

44936397960156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850264 (or 850259 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 44936397960156 in words is "forty-four trillion, nine hundred thirty-six billion, three hundred ninety-seven million, nine hundred sixty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 201 204 268 306 402 603 612 804 1139 1206 1291 2278 2412 2582 3417 3873 4556 5164 6834 7746 10251 11619 13668 15492 20502 21947 23238 41004 43894 46476 65841 86497 87788 131682 172994 197523 259491 263364 345988 395046 518982 778473 790092 848879 1037964 1470449 1556946 1697758 2546637 2940898 3113892 3395516 4411347 5093274 5881796 7639911 8822694 10186548 13234041 14430943 15279822 17645388 26468082 28861886 30559644 43292829 52936164 56874893 57723772 86585658 113749786 129878487 170624679 173171316 227499572 259756974 341249358 511874037 519513948 682498716 966873181 1023748074 1095902789 1933746362 2047496148 2191805578 2900619543 3287708367 3867492724 4383611156 5801239086 6575416734 8701858629 9863125101 11602478172 13150833468 17403717258 18630347413 19726250202 34807434516 37260694826 39452500404 55891042239 73425486863 74521389652 111782084478 146850973726 167673126717 220276460589 223564168956 293701947452 335346253434 440552921178 660829381767 670692506868 881105842356 1248233276671 1321658763534 2496466553342 2643317527068 3744699830013 4992933106684 7489399660026 11234099490039 14978799320052 22468198980078 44936397960156