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644058076464 = 243311135534107
BaseRepresentation
bin10010101111101001101…
…10100101010100110000
32021120102111220020101000
421113310312211110300
541023012331421324
61211513131442000
764350234215355
oct11276466452460
92246374806330
10644058076464
11229163aa2540
12a49a58b6300
1348971686a3a
142325b7a262c
1511b47c4c9c9
hex95f4da5530

644058076464 has 80 divisors (see below), whose sum is σ = 2016747527040. Its totient is φ = 195169112640.

The previous prime is 644058076457. The next prime is 644058076469. The reversal of 644058076464 is 464670850446.

It is a happy number.

644058076464 is a `hidden beast` number, since 6 + 440 + 5 + 80 + 7 + 64 + 64 = 666.

644058076464 is digitally balanced in base 2, 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 644058076464.

It is not an unprimeable number, because it can be changed into a prime (644058076469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67762302 + ... + 67771805.

It is an arithmetic number, because the mean of its divisors is an integer number (25209344088).

Almost surely, 2644058076464 is an apocalyptic number.

It is an amenable number.

644058076464 is an abundant number, since it is smaller than the sum of its proper divisors (1372689450576).

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

644058076464 is a wasteful number, since it uses less digits than its factorization.

644058076464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135534135 (or 135534123 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 644058076464 in words is "six hundred forty-four billion, fifty-eight million, seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 135534107 271068214 406602321 542136428 813204642 1084272856 1219806963 1490875177 1626409284 2168545712 2439613926 2981750354 3252818568 3659420889 4472625531 4879227852 5963500708 6505637136 7318841778 8945251062 9758455704 11927001416 13417876593 14637683556 17890502124 19516911408 23854002832 26835753186 29275367112 35781004248 40253629779 53671506372 58550734224 71562008496 80507259558 107343012744 161014519116 214686025488 322029038232 644058076464