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42757421184 = 273322735443
BaseRepresentation
bin100111110100100010…
…100111100010000000
311002100211122001021000
4213310202213202000
51200031344434214
631350435532000
73042366040422
oct476442474200
9132324561230
1042757421184
11171514a4425
12835345a000
13405542222a
1420d88aa812
1511a3b10809
hex9f48a7880

42757421184 has 128 divisors (see below), whose sum is σ = 126272491200. Its totient is φ = 14243586048.

The previous prime is 42757421183. The next prime is 42757421197. The reversal of 42757421184 is 48112475724.

42757421184 is a `hidden beast` number, since 42 + 7 + 5 + 7 + 421 + 184 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (42757421183) 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, 7852767 + ... + 7858209.

Almost surely, 242757421184 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 42757421184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63136245600).

42757421184 is an abundant number, since it is smaller than the sum of its proper divisors (83515070016).

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

42757421184 is a wasteful number, since it uses less digits than its factorization.

42757421184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7721 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The spelling of 42757421184 in words is "forty-two billion, seven hundred fifty-seven million, four hundred twenty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 2273 3456 4546 5443 6819 9092 10886 13638 16329 18184 20457 21772 27276 32658 36368 40914 43544 48987 54552 61371 65316 72736 81828 87088 97974 109104 122742 130632 145472 146961 163656 174176 195948 218208 245484 261264 290944 293922 327312 348352 391896 436416 490968 522528 587844 654624 696704 783792 872832 981936 1045056 1175688 1309248 1567584 1963872 2090112 2351376 2618496 3135168 3927744 4702752 6270336 7855488 9405504 12371939 18811008 24743878 37115817 49487756 74231634 98975512 111347451 148463268 197951024 222694902 296926536 334042353 395902048 445389804 593853072 668084706 791804096 890779608 1187706144 1336169412 1583608192 1781559216 2375412288 2672338824 3563118432 4750824576 5344677648 7126236864 10689355296 14252473728 21378710592 42757421184