Search a number
-
+
121291337565696 = 293176959667487
BaseRepresentation
bin11011100101000001010111…
…000101110000011000000000
3120220110100010212020020020110
4123211001113011300120000
5111344214124404100241
61105544245442311320
734356003262323204
oct3345012705603000
9526410125206213
10121291337565696
1135713404aa7291
121172b0a7658540
13528a95499542c
1421d4763d94b04
15e050ecd2d816
hex6e5057170600

121291337565696 has 160 divisors (see below), whose sum is σ = 342184893050880. Its totient is φ = 38046659280896.

The previous prime is 121291337565689. The next prime is 121291337565809. The reversal of 121291337565696 is 696565733192121.

It is a super-2 number, since 2×1212913375656962 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 181379665 + ... + 182047151.

It is an arithmetic number, because the mean of its divisors is an integer number (2138655581568).

Almost surely, 2121291337565696 is an apocalyptic number.

121291337565696 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 121291337565696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171092446525440).

121291337565696 is an abundant number, since it is smaller than the sum of its proper divisors (220893555485184).

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

121291337565696 is an equidigital number, since it uses as much as digits as its factorization.

121291337565696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674484 (or 674468 counting only the distinct ones).

The product of its digits is 110224800, while the sum is 66.

The spelling of 121291337565696 in words is "one hundred twenty-one trillion, two hundred ninety-one billion, three hundred thirty-seven million, five hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6528 6959 8704 13056 13918 20877 26112 27836 41754 55672 83508 111344 118303 167016 222688 236606 334032 354909 445376 473212 667487 668064 709818 890752 946424 1334974 1336128 1419636 1781504 1892848 2002461 2669948 2672256 2839272 3563008 3785696 4004922 5339896 5344512 5678544 7571392 8009844 10679792 10689024 11347279 11357088 15142784 16019688 21359584 22694558 22714176 30285568 32039376 34041837 42719168 45389116 45428352 60571136 64078752 68083674 85438336 90778232 90856704 128157504 136167348 170876672 181556464 181713408 256315008 272334696 341753344 363112928 512630016 544669392 726225856 1025260032 1089338784 1452451712 2178677568 2904903424 4357355136 4645042033 5809806848 8714710272 9290084066 13935126099 17429420544 18580168132 27870252198 37160336264 55740504396 74320672528 78965714561 111481008792 148641345056 157931429122 222962017584 236897143683 297282690112 315862858244 445924035168 473794287366 594565380224 631725716488 891848070336 947588574732 1189130760448 1263451432976 1783696140672 1895177149464 2378261520896 2526902865952 3567392281344 3790354298928 5053805731904 7134784562688 7580708597856 10107611463808 15161417195712 20215222927616 30322834391424 40430445855232 60645668782848 121291337565696