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76714712550 = 233527171941613
BaseRepresentation
bin100011101110010001…
…1011001110111100110
321100000101021011212000
41013130203121313212
52224102431300200
655124154310130
75354030204040
oct1073443316746
9240011234760
1076714712550
112a597500a93
1212a4b728346
137307604348
1439da70ca90
151eded75300
hex11dc8d9de6

76714712550 has 768 divisors, whose sum is σ = 276282316800. Its totient is φ = 15228518400.

The previous prime is 76714712537. The next prime is 76714712561. The reversal of 76714712550 is 5521741767.

76714712550 is a `hidden beast` number, since 76 + 7 + 14 + 7 + 12 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 76714712496 and 76714712505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 125146044 + ... + 125146656.

It is an arithmetic number, because the mean of its divisors is an integer number (359742600).

Almost surely, 276714712550 is an apocalyptic number.

76714712550 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76714712550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138141158400).

76714712550 is an abundant number, since it is smaller than the sum of its proper divisors (199567604250).

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

76714712550 is a wasteful number, since it uses less digits than its factorization.

76714712550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 76714712550 in words is "seventy-six billion, seven hundred fourteen million, seven hundred twelve thousand, five hundred fifty".