Search a number
-
+
77232700742664 = 23319176521959489
BaseRepresentation
bin10001100011111000100011…
…101100010101110000001000
3101010110101002201002021111110
4101203320203230111300020
540110340032342231124
6432132113553330320
722160610215414355
oct2143704354256010
9333411081067443
1077232700742664
1122677228131625
1287b426b2669a0
13341302140006c
141510122b7162c
158ddeee423029
hex463e23b15c08

77232700742664 has 64 divisors (see below), whose sum is σ = 203245312536000. Its totient is φ = 24389110333440.

The previous prime is 77232700742653. The next prime is 77232700742689. The reversal of 77232700742664 is 46624700723277.

77232700742664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80013832 + ... + 80973320.

It is an arithmetic number, because the mean of its divisors is an integer number (3175708008375).

Almost surely, 277232700742664 is an apocalyptic number.

It is an amenable number.

77232700742664 is an abundant number, since it is smaller than the sum of its proper divisors (126012611793336).

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

77232700742664 is a wasteful number, since it uses less digits than its factorization.

77232700742664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136038 (or 1136034 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 57.

The spelling of 77232700742664 in words is "seventy-seven trillion, two hundred thirty-two billion, seven hundred million, seven hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 176521 353042 529563 706084 959489 1059126 1412168 1918978 2118252 2878467 3353899 3837956 4236504 5756934 6707798 7675912 10061697 11513868 13415596 18230291 20123394 23027736 26831192 36460582 40246788 54690873 72921164 80493576 109381746 145842328 218763492 437526984 169369957769 338739915538 508109873307 677479831076 1016219746614 1354959662152 2032439493228 3218029197611 4064878986456 6436058395222 9654087592833 12872116790444 19308175185666 25744233580888 38616350371332 77232700742664