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61677061376 = 28767750839
BaseRepresentation
bin111001011100001111…
…010100010100000000
312220012101021100110112
4321130033110110000
52002303311431001
644200053250452
74312262241320
oct713417242400
9186171240415
1061677061376
11241801030a7
12bb53633a28
135a7c0348b8
142db14c7280
15190eac4cbb
hexe5c3d4500

61677061376 has 72 divisors (see below), whose sum is σ = 140911397760. Its totient is φ = 26393462784.

The previous prime is 61677061357. The next prime is 61677061393. The reversal of 61677061376 is 67316077616.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187765 + ... + 1238603.

Almost surely, 261677061376 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 61677061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70455698880).

61677061376 is an abundant number, since it is smaller than the sum of its proper divisors (79234336384).

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

61677061376 is an equidigital number, since it uses as much as digits as its factorization.

61677061376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51539 (or 51525 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 50.

The spelling of 61677061376 in words is "sixty-one billion, six hundred seventy-seven million, sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 677 896 1354 1792 2708 4739 5416 9478 10832 18956 21664 37912 43328 50839 75824 86656 101678 151648 173312 203356 303296 355873 406712 606592 711746 813424 1213184 1423492 1626848 2846984 3253696 5693968 6507392 11387936 13014784 22775872 34418003 45551744 68836006 91103488 137672012 240926021 275344024 481852042 550688048 963704084 1101376096 1927408168 2202752192 3854816336 4405504384 7709632672 8811008768 15419265344 30838530688 61677061376