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42613633568 = 25111793072203
BaseRepresentation
bin100111101011111110…
…000111001000100000
311001222211001212201202
4213223332013020200
51144233042233233
631324302020332
73036001623512
oct475376071040
9131884055652
1042613633568
1117088315690
1283132776a8
1340316b9bbc
1420c375bbb2
1511961abbe8
hex9ebf87220

42613633568 has 96 divisors (see below), whose sum is σ = 92375458560. Its totient is φ = 19190165760.

The previous prime is 42613633567. The next prime is 42613633583. The reversal of 42613633568 is 86533631624.

42613633568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42613633567) 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, 19342355 + ... + 19344557.

It is an arithmetic number, because the mean of its divisors is an integer number (962244360).

Almost surely, 242613633568 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 42613633568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46187729280).

42613633568 is an abundant number, since it is smaller than the sum of its proper divisors (49761824992).

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

42613633568 is a wasteful number, since it uses less digits than its factorization.

42613633568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2702 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 47.

The spelling of 42613633568 in words is "forty-two billion, six hundred thirteen million, six hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 179 307 352 358 614 716 1228 1432 1969 2203 2456 2864 3377 3938 4406 4912 5728 6754 7876 8812 9824 13508 15752 17624 24233 27016 31504 35248 48466 54032 54953 63008 70496 96932 108064 109906 193864 219812 387728 394337 439624 604483 676321 775456 788674 879248 1208966 1352642 1577348 1758496 2417932 2705284 3154696 4337707 4835864 5410568 6309392 7439531 8675414 9671728 10821136 12618784 14879062 17350828 19343456 21642272 29758124 34701656 59516248 69403312 119032496 121061459 138806624 238064992 242122918 484245836 968491672 1331676049 1936983344 2663352098 3873966688 5326704196 10653408392 21306816784 42613633568