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77230516608 = 27367319127
BaseRepresentation
bin100011111101101001…
…1000010100110000000
321101100022211202000000
41013323103002212000
52231132003012413
655251302000000
75402562363000
oct1077323024600
9241308752000
1077230516608
112a831682233
1212b74416000
13738a430a4b
143a4901a000
1520202b1073
hex11fb4c2980

77230516608 has 896 divisors, whose sum is σ = 285404160000. Its totient is φ = 20739898368.

The previous prime is 77230516547. The next prime is 77230516619. The reversal of 77230516608 is 80661503277.

77230516608 is a `hidden beast` number, since 7 + 7 + 2 + 30 + 5 + 1 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 608114241 + ... + 608114367.

Almost surely, 277230516608 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 77230516608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702080000).

77230516608 is an abundant number, since it is smaller than the sum of its proper divisors (208173643392).

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

77230516608 is an equidigital number, since it uses as much as digits as its factorization.

77230516608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 77230516608 in words is "seventy-seven billion, two hundred thirty million, five hundred sixteen thousand, six hundred eight".