Search a number
-
+
5316642950976 = 26347146512427
BaseRepresentation
bin100110101011110000010…
…0111010100111101000000
3200211021011222200122220000
41031113200213110331000
51144101441043412401
615150233153520000
71056054240302460
oct115274047247500
920737158618800
105316642950976
11176a8593831a5
1271a498b73000
132c7484c32756
14145480dc3ba0
159347107a186
hex4d5e09d4f40

5316642950976 has 140 divisors (see below), whose sum is σ = 18011651848608. Its totient is φ = 1519040832768.

The previous prime is 5316642950963. The next prime is 5316642950987. The reversal of 5316642950976 is 6790592466135.

5316642950976 is a `hidden beast` number, since 5 + 3 + 16 + 6 + 42 + 9 + 509 + 76 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73219926 + ... + 73292501.

Almost surely, 25316642950976 is an apocalyptic number.

5316642950976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5316642950976 is an abundant number, since it is smaller than the sum of its proper divisors (12695008897632).

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

5316642950976 is a wasteful number, since it uses less digits than its factorization.

5316642950976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146512458 (or 146512439 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 5316642950976 in words is "five trillion, three hundred sixteen billion, six hundred forty-two million, nine hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 146512427 293024854 439537281 586049708 879074562 1025586989 1172099416 1318611843 1758149124 2051173978 2344198832 2637223686 3076760967 3516298248 3955835529 4102347956 4688397664 5274447372 6153521934 7032596496 7911671058 8204695912 9230282901 9376795328 10548894744 11867506587 12307043868 14065192992 15823342116 16409391824 18460565802 21097789488 23735013174 24614087736 27690848703 28130385984 31646684232 32818783648 36921131604 42195578976 47470026348 49228175472 55381697406 63293368464 65637567296 73842263208 83072546109 84391157952 94940052696 98456350944 110763394812 126586736928 147684526416 166145092218 189880105392 196912701888 221526789624 253173473856 295369052832 332290184436 379760210784 443053579248 590738105664 664580368872 759520421568 886107158496 1329160737744 1772214316992 2658321475488 5316642950976