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61314177088 = 261956389561
BaseRepresentation
bin111001000110100111…
…000001100001000000
312212021002102220210201
4321012213001201000
52001032412131323
644100051334544
74300264622533
oct710647014100
9185232386721
1061314177088
112400428882a
12ba71bb1454
135a21aba078
142d79224a1a
1518dcce38ad
hexe469c1840

61314177088 has 56 divisors (see below), whose sum is σ = 128302938720. Its totient is φ = 28991646720.

The previous prime is 61314177061. The next prime is 61314177091. The reversal of 61314177088 is 88077141316.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639828 + ... + 729388.

Almost surely, 261314177088 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 61314177088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64151469360).

61314177088 is an abundant number, since it is smaller than the sum of its proper divisors (66988761632).

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

61314177088 is a wasteful number, since it uses less digits than its factorization.

61314177088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90155 (or 90145 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 61314177088 in words is "sixty-one billion, three hundred fourteen million, one hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 563 608 1126 1216 2252 4504 9008 10697 18016 21394 36032 42788 85576 89561 171152 179122 342304 358244 684608 716488 1432976 1701659 2865952 3403318 5731904 6806636 13613272 27226544 50422843 54453088 100845686 108906176 201691372 403382744 806765488 958034017 1613530976 1916068034 3227061952 3832136068 7664272136 15328544272 30657088544 61314177088