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274041356056 = 231317433799511
BaseRepresentation
bin1111111100111000100…
…0110011111100011000
3222012100102011021122221
43333032020303330120
513442214041343211
6325520505153424
725541000043556
oct3771610637430
9865312137587
10274041356056
11a6247223956
124513ba8b874
131cac3b08070
14d399734bd6
1571dd778c71
hex3fce233f18

274041356056 has 128 divisors (see below), whose sum is σ = 601173619200. Its totient is φ = 115953223680.

The previous prime is 274041356023. The next prime is 274041356059. The reversal of 274041356056 is 650653140472.

It is a super-2 number, since 2×2740413560562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274041356059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28808341 + ... + 28817851.

It is an arithmetic number, because the mean of its divisors is an integer number (4696668900).

Almost surely, 2274041356056 is an apocalyptic number.

274041356056 is a gapful number since it is divisible by the number (26) 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 274041356056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300586809600).

274041356056 is an abundant number, since it is smaller than the sum of its proper divisors (327132263144).

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

274041356056 is a wasteful number, since it uses less digits than its factorization.

274041356056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9969 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 274041356056 in words is "two hundred seventy-four billion, forty-one million, three hundred fifty-six thousand, fifty-six".

Divisors: 1 2 4 8 13 17 26 34 43 52 68 86 104 136 172 221 344 379 442 559 731 758 884 1118 1462 1516 1768 2236 2924 3032 4472 4927 5848 6443 9503 9511 9854 12886 16297 19006 19022 19708 25772 32594 38012 38044 39416 51544 65188 76024 76088 83759 123643 130376 161687 167518 211861 247286 277049 323374 335036 408973 423722 494572 554098 646748 670072 817946 847444 989144 1108196 1293496 1635892 1694888 2101931 2216392 3271784 3601637 3604669 4203862 5316649 6952541 7203274 7209338 8407724 10633298 13905082 14406548 14418676 16815448 21266596 27810164 28813096 28837352 42533192 46860697 55620328 61279373 90383033 93721394 122558746 155000767 180766066 187442788 245117492 310001534 361532132 374885576 490234984 620003068 723064264 796631849 1240006136 1593263698 2015009971 2635013039 3186527396 4030019942 5270026078 6373054792 8060039884 10540052156 16120079768 21080104312 34255169507 68510339014 137020678028 274041356056