Search a number
-
+
99504185870848 = 291197809225143
BaseRepresentation
bin10110100111111110011111…
…101001110000101000000000
3111001022111200210120002100211
4112213332133221300220000
5101020234033040331343
6551343331505123504
726646640325445643
oct2647763751605000
9431274623502324
1099504185870848
1129783540945480
12b1b06b2629594
13436a287297a35
141a800578c7a5a
15b784eb3c979d
hex5a7f9fa70a00

99504185870848 has 160 divisors (see below), whose sum is σ = 219395821518720. Its totient is φ = 44707365519360.

The previous prime is 99504185870827. The next prime is 99504185870899. The reversal of 99504185870848 is 84807858140599.

It is a super-2 number, since 2×995041858708482 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441847365 + ... + 442072507.

It is an arithmetic number, because the mean of its divisors is an integer number (1371223884492).

Almost surely, 299504185870848 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 99504185870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109697910759360).

99504185870848 is an abundant number, since it is smaller than the sum of its proper divisors (119891635647872).

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

99504185870848 is a wasteful number, since it uses less digits than its factorization.

99504185870848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226078 (or 226062 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 76.

The spelling of 99504185870848 in words is "ninety-nine trillion, five hundred four billion, one hundred eighty-five million, eight hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 352 388 512 704 776 809 1067 1408 1552 1618 2134 2816 3104 3236 4268 5632 6208 6472 8536 8899 12416 12944 17072 17798 24832 25888 34144 35596 49664 51776 68288 71192 78473 103552 136576 142384 156946 207104 225143 273152 284768 313892 414208 450286 546304 569536 627784 863203 900572 1139072 1255568 1726406 1801144 2278144 2476573 2511136 3452812 3602288 4556288 4953146 5022272 6905624 7204576 9906292 10044544 13811248 14409152 19812584 20089088 21838871 27622496 28818304 39625168 40178176 43677742 55244992 57636608 79250336 87355484 110489984 115273216 158500672 174710968 182140687 220979968 240227581 317001344 349421936 364281374 441959936 480455162 634002688 698843872 728562748 960910324 1268005376 1397687744 1457125496 1921820648 2003547557 2795375488 2914250992 3843641296 4007095114 5590750976 5828501984 7687282592 8014190228 11181501952 11657003968 15374565184 16028380456 17667646639 23314007936 30749130368 32056760912 35335293278 46628015872 61498260736 64113521824 70670586556 93256031744 122996521472 128227043648 141341173112 194344113029 256454087296 282682346224 388688226058 512908174592 565364692448 777376452116 1025816349184 1130729384896 1554752904232 2261458769792 3109505808464 4522917539584 6219011616928 9045835079168 12438023233856 24876046467712 49752092935424 99504185870848