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108157099776 = 2831112979871
BaseRepresentation
bin110010010111010101…
…0100101111100000000
3101100011122122221112020
41210232222211330000
53233001204143101
6121404154001440
710546143115335
oct1445652457400
9340148587466
10108157099776
1141961954980
1218b65716280
13a2787691bb
14534054098c
152c30418136
hex192eaa5f00

108157099776 has 144 divisors (see below), whose sum is σ = 314298259968. Its totient is φ = 32746291200.

The previous prime is 108157099741. The next prime is 108157099849. The reversal of 108157099776 is 677990751801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10952121 + ... + 10961991.

Almost surely, 2108157099776 is an apocalyptic number.

108157099776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108157099776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157149129984).

108157099776 is an abundant number, since it is smaller than the sum of its proper divisors (206141160192).

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

108157099776 is a wasteful number, since it uses less digits than its factorization.

108157099776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11198 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 60.

The spelling of 108157099776 in words is "one hundred eight billion, one hundred fifty-seven million, ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1297 1408 2112 2594 2816 3891 4224 5188 7782 8448 9871 10376 14267 15564 19742 20752 28534 29613 31128 39484 41504 42801 57068 59226 62256 78968 83008 85602 108581 114136 118452 124512 157936 166016 171204 217162 228272 236904 249024 315872 325743 332032 342408 434324 456544 473808 498048 631744 651486 684816 868648 913088 947616 996096 1263488 1302972 1369632 1737296 1826176 1895232 2526976 2605944 2739264 3474592 3652352 3790464 5211888 5478528 6949184 7580928 10423776 10957056 12802687 13898368 20847552 25605374 27796736 38408061 41695104 51210748 76816122 83390208 102421496 140829557 153632244 204842992 281659114 307264488 409685984 422488671 563318228 614528976 819371968 844977342 1126636456 1229057952 1638743936 1689954684 2253272912 2458115904 3277487872 3379909368 4506545824 4916231808 6759818736 9013091648 9832463616 13519637472 18026183296 27039274944 36052366592 54078549888 108157099776