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61233652152 = 23328297102503
BaseRepresentation
bin111001000001110011…
…110110000110111000
312212001110220211100200
4321001303312012320
52000401303332102
644044053402200
74265266312131
oct710163660670
9185043824320
1061233652152
1123a728891a2
12ba4b039360
135a0b204a8a
142d6c662c88
1518d5bd951c
hexe41cf61b8

61233652152 has 48 divisors (see below), whose sum is σ = 165862747440. Its totient is φ = 20408558208.

The previous prime is 61233652147. The next prime is 61233652177. The reversal of 61233652152 is 25125633216.

61233652152 is a `hidden beast` number, since 6 + 123 + 3 + 6 + 521 + 5 + 2 = 666.

61233652152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×612336521522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546133 + ... + 648635.

It is an arithmetic number, because the mean of its divisors is an integer number (3455473905).

Almost surely, 261233652152 is an apocalyptic number.

It is an amenable number.

61233652152 is an abundant number, since it is smaller than the sum of its proper divisors (104629095288).

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

61233652152 is a wasteful number, since it uses less digits than its factorization.

61233652152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110812 (or 110805 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 61233652152 in words is "sixty-one billion, two hundred thirty-three million, six hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8297 16594 24891 33188 49782 66376 74673 99564 102503 149346 199128 205006 298692 307509 410012 597384 615018 820024 922527 1230036 1845054 2460072 3690108 7380216 850467391 1700934782 2551402173 3401869564 5102804346 6803739128 7654206519 10205608692 15308413038 20411217384 30616826076 61233652152