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40962645864 = 2333727679791
BaseRepresentation
bin100110001001100100…
…000101111101101000
310220201202110000101000
4212021210011331220
51132342414131424
630452403355000
72650043513340
oct461144057550
9126652400330
1040962645864
1116410389138
127b32382a60
133b2a6412ba
141da8393d20
1510eb28a3c9
hex989905f68

40962645864 has 128 divisors (see below), whose sum is σ = 130100428800. Its totient is φ = 11698188480.

The previous prime is 40962645859. The next prime is 40962645901. The reversal of 40962645864 is 46854626904.

40962645864 is a `hidden beast` number, since 4 + 0 + 9 + 626 + 4 + 5 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40962645864.

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, 4178809 + ... + 4188599.

It is an arithmetic number, because the mean of its divisors is an integer number (1016409600).

Almost surely, 240962645864 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 40962645864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65050214400).

40962645864 is an abundant number, since it is smaller than the sum of its proper divisors (89137782936).

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

40962645864 is a wasteful number, since it uses less digits than its factorization.

40962645864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12580 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 40962645864 in words is "forty billion, nine hundred sixty-two million, six hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2767 5534 8301 9791 11068 16602 19369 19582 22136 24903 29373 33204 38738 39164 49806 58107 58746 66408 68537 74709 77476 78328 88119 99612 116214 117492 137074 149418 154952 174321 176238 199224 205611 232428 234984 264357 274148 298836 348642 352476 411222 464856 522963 528714 548296 597672 616833 697284 704952 822444 1045926 1057428 1233666 1394568 1644888 1850499 2091852 2114856 2467332 3700998 4183704 4934664 7401996 14803992 27091697 54183394 81275091 108366788 162550182 189641879 216733576 243825273 325100364 379283758 487650546 568925637 650200728 731475819 758567516 975301092 1137851274 1462951638 1517135032 1706776911 1950602184 2275702548 2925903276 3413553822 4551405096 5120330733 5851806552 6827107644 10240661466 13654215288 20481322932 40962645864