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51774777132 = 22313229387133
BaseRepresentation
bin110000001110000001…
…000110011100101100
311221122021101012011020
4300032001012130230
51322013320332012
635441321054140
73512012226051
oct601601063454
9157567335136
1051774777132
111aa5956a411
12a04b327350
134b6166b300
14271231d028
1515305b9a8c
hexc0e04672c

51774777132 has 72 divisors (see below), whose sum is σ = 131263537104. Its totient is φ = 15876147456.

The previous prime is 51774777127. The next prime is 51774777143. The reversal of 51774777132 is 23177747715.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550638 + ... + 637770.

It is an arithmetic number, because the mean of its divisors is an integer number (1823104682).

Almost surely, 251774777132 is an apocalyptic number.

51774777132 is a gapful number since it is divisible by the number (52) 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 51774777132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65631768552).

51774777132 is an abundant number, since it is smaller than the sum of its proper divisors (79488759972).

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

51774777132 is a wasteful number, since it uses less digits than its factorization.

51774777132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87459 (or 87444 counting only the distinct ones).

The product of its digits is 2016840, while the sum is 51.

The spelling of 51774777132 in words is "fifty-one billion, seven hundred seventy-four million, seven hundred seventy-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 293 338 507 586 676 879 1014 1172 1758 2028 3516 3809 7618 11427 15236 22854 45708 49517 87133 99034 148551 174266 198068 261399 297102 348532 522798 594204 1045596 1132729 2265458 3398187 4530916 6796374 13592748 14725477 25529969 29450954 44176431 51059938 58901908 76589907 88352862 102119876 153179814 176705724 306359628 331889597 663779194 995668791 1327558388 1991337582 3982675164 4314564761 8629129522 12943694283 17258259044 25887388566 51774777132