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61660422415872 = 293571035871171
BaseRepresentation
bin11100000010100011011111…
…00100110010011000000000
322002022200022212002202100000
432001101233210302120000
531040221021114301442
6335050223525200000
715662550514542360
oct1601215744623000
9262280285082300
1061660422415872
1118713046a73985
126aba252860000
1328537258c0c17
141132547a349a0
1571dde0a29d4c
hex38146f932600

61660422415872 has 960 divisors, whose sum is σ = 213503638892544. Its totient is φ = 17401627975680.

The previous prime is 61660422415817. The next prime is 61660422415877. The reversal of 61660422415872 is 27851422406616.

61660422415872 is a `hidden beast` number, since 6 + 1 + 6 + 60 + 422 + 4 + 158 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61660422415877) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52656209847 + ... + 52656211017.

Almost surely, 261660422415872 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 61660422415872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106751819446272).

61660422415872 is an abundant number, since it is smaller than the sum of its proper divisors (151843216476672).

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

61660422415872 is a wasteful number, since it uses less digits than its factorization.

61660422415872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 61660422415872 in words is "sixty-one trillion, six hundred sixty billion, four hundred twenty-two million, four hundred fifteen thousand, eight hundred seventy-two".