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61329747792 = 2438328795347
BaseRepresentation
bin111001000111100010…
…011010111101010000
312212022011201222210110
4321013202122331100
52001100403412132
644101405201320
74300544153265
oct710742327520
9185264658713
1061329747792
1124012053285
12ba77260240
135a250ac3c1
142d7b31926c
1518de36c1cc
hexe4789af50

61329747792 has 80 divisors (see below), whose sum is σ = 160429731840. Its totient is φ = 20186153856.

The previous prime is 61329747769. The next prime is 61329747793. The reversal of 61329747792 is 29774792316.

It is a happy number.

61329747792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×613297477922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61329747793) 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, 11467263 + ... + 11472609.

It is an arithmetic number, because the mean of its divisors is an integer number (2005371648).

Almost surely, 261329747792 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 61329747792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80214865920).

61329747792 is an abundant number, since it is smaller than the sum of its proper divisors (99099984048).

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

61329747792 is a wasteful number, since it uses less digits than its factorization.

61329747792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320 (or 8314 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 57.

The spelling of 61329747792 in words is "sixty-one billion, three hundred twenty-nine million, seven hundred forty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 2879 3984 5347 5758 8637 10694 11516 16041 17274 21388 23032 32082 34548 42776 46064 64164 69096 85552 128328 138192 238957 256656 443801 477914 716871 887602 955828 1331403 1433742 1775204 1911656 2662806 2867484 3550408 3823312 5325612 5734968 7100816 10651224 11469936 15394013 21302448 30788026 46182039 61576052 92364078 123152104 184728156 246304208 369456312 738912624 1277703079 2555406158 3833109237 5110812316 7666218474 10221624632 15332436948 20443249264 30664873896 61329747792