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41864665856 = 281389281503
BaseRepresentation
bin100110111111010101…
…000001101100000000
311000001121202101011212
4212333111001230000
51141214323301411
631122105025252
73011305534256
oct467725015400
9130047671155
1041864665856
1116833570102
128144485228
133c42494240
1420520b85d6
15115056568b
hex9bf541b00

41864665856 has 144 divisors (see below), whose sum is σ = 91510534080. Its totient is φ = 18999214080.

The previous prime is 41864665847. The next prime is 41864665859. The reversal of 41864665856 is 65856646814.

It is a junction number, because it is equal to n+sod(n) for n = 41864665795 and 41864665804.

It is not an unprimeable number, because it can be changed into a prime (41864665859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83229701 + ... + 83230203.

It is an arithmetic number, because the mean of its divisors is an integer number (635489820).

Almost surely, 241864665856 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 41864665856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45755267040).

41864665856 is an abundant number, since it is smaller than the sum of its proper divisors (49645868224).

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

41864665856 is a wasteful number, since it uses less digits than its factorization.

41864665856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 888 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 59.

The spelling of 41864665856 in words is "forty-one billion, eight hundred sixty-four million, six hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 256 281 356 416 503 562 712 832 1006 1124 1157 1424 1664 2012 2248 2314 2848 3328 3653 4024 4496 4628 5696 6539 7306 8048 8992 9256 11392 13078 14612 16096 17984 18512 22784 25009 26156 29224 32192 35968 37024 44767 50018 52312 58448 64384 71936 74048 89534 100036 104624 116896 128768 141343 148096 179068 200072 209248 233792 282686 296192 325117 358136 400144 418496 467584 565372 581971 650234 716272 800288 836992 935168 1130744 1163942 1300468 1432544 1600576 1673984 1837459 2261488 2327884 2600936 2865088 3201152 3674918 4522976 4655768 5201872 5730176 6402304 7349836 9045952 9311536 10403744 11460352 12579527 14699672 18091904 18623072 20807488 25159054 29399344 36183808 37246144 41614976 50318108 58798688 74492288 83229952 100636216 117597376 148984576 163533851 201272432 235194752 327067702 402544864 470389504 654135404 805089728 1308270808 1610179456 2616541616 3220358912 5233083232 10466166464 20932332928 41864665856