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157461077326336 = 297317228760601
BaseRepresentation
bin100011110011010111000011…
…100101000111101000000000
3202122112010120012202210110021
4203303113003211013220000
5131114320241243420321
61314520341552543224
745111121166502460
oct4363270345075000
9678463505683407
10157461077326336
1146198960170203
12157b1018251b14
1369b2692502354
142ac522a3c3ba0
151330dcd632941
hex8f35c3947a00

157461077326336 has 160 divisors (see below), whose sum is σ = 360857484928512. Its totient is φ = 67239913881600.

The previous prime is 157461077326327. The next prime is 157461077326339. The reversal of 157461077326336 is 633623770164751.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (157461077326339) 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, 2598294436 + ... + 2598355036.

Almost surely, 2157461077326336 is an apocalyptic number.

157461077326336 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 157461077326336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180428742464256).

157461077326336 is an abundant number, since it is smaller than the sum of its proper divisors (203396407602176).

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

157461077326336 is an equidigital number, since it uses as much as digits as its factorization.

157461077326336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63230 (or 63214 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 61.

The spelling of 157461077326336 in words is "one hundred fifty-seven trillion, four hundred sixty-one billion, seventy-seven million, three hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 317 448 512 634 896 1268 1792 2219 2287 2536 3584 4438 4574 5072 8876 9148 10144 16009 17752 18296 20288 32018 35504 36592 40576 60601 64036 71008 73184 81152 121202 128072 142016 146368 162304 242404 256144 284032 292736 424207 484808 512288 568064 585472 724979 848414 969616 1024576 1136128 1170944 1449958 1696828 1939232 2049152 2899916 3393656 3878464 4098304 5074853 5799832 6787312 7756928 8196608 10149706 11599664 13574624 15513856 19210517 20299412 23199328 27149248 31027712 38421034 40598824 46398656 54298496 76842068 81197648 92797312 108596992 134473619 138594487 153684136 162395296 185594624 217193984 268947238 277188974 307368272 324790592 371189248 537894476 554377948 614736544 649581184 970161409 1075788952 1108755896 1229473088 1299162368 1940322818 2151577904 2217511792 2458946176 2598324736 3880645636 4303155808 4435023584 4917892352 7761291272 8606311616 8870047168 9835784704 15522582544 17212623232 17740094336 31045165088 34425246464 35480188672 43934452379 62090330176 68850492928 70960377344 87868904758 124180660352 175737809516 248361320704 307541166653 351475619032 496722641408 615082333306 702951238064 1230164666612 1405902476128 2460329333224 2811804952256 4920658666448 5623609904512 9841317332896 11247219809024 19682634665792 22494439618048 39365269331584 78730538663168 157461077326336