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61117714944 = 2933111343719
BaseRepresentation
bin111000111010111001…
…100101001000000000
312211202101202121102000
4320322321211020000
52000132113334234
644024352424000
74262361001566
oct707271451000
9184671677360
1061117714944
1123a133a1920
12ba18248000
1359c01a1190
142d5b0c3a36
1518ca937899
hexe3ae65200

61117714944 has 640 divisors, whose sum is σ = 217786060800. Its totient is φ = 16675061760.

The previous prime is 61117714943. The next prime is 61117714961. The reversal of 61117714944 is 44941771116.

61117714944 is a `hidden beast` number, since 611 + 17 + 7 + 14 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61117714944.

It is not an unprimeable number, because it can be changed into a prime (61117714943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85003417 + ... + 85004135.

It is an arithmetic number, because the mean of its divisors is an integer number (340290720).

Almost surely, 261117714944 is an apocalyptic number.

61117714944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61117714944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108893030400).

61117714944 is an abundant number, since it is smaller than the sum of its proper divisors (156668345856).

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

61117714944 is a wasteful number, since it uses less digits than its factorization.

61117714944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 791 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 61117714944 in words is "sixty-one billion, one hundred seventeen million, seven hundred fourteen thousand, nine hundred forty-four".