Search a number
-
+
642064333504 = 26111823500287
BaseRepresentation
bin10010101011111100000…
…01000011101011000000
32021101021120022121012011
421111332001003223000
541004421432133004
61210543230542304
764246644533566
oct11257601035300
92241246277164
10642064333504
11228330639990
12a452a067994
13487145c0689
142310ca95a36
1511a7cbc4004
hex957e043ac0

642064333504 has 56 divisors (see below), whose sum is σ = 1390688575488. Its totient is φ = 291686749440.

The previous prime is 642064333447. The next prime is 642064333531. The reversal of 642064333504 is 405333460246.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033249 + ... + 1533535.

Almost surely, 2642064333504 is an apocalyptic number.

642064333504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

642064333504 is an abundant number, since it is smaller than the sum of its proper divisors (748624241984).

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

642064333504 is a wasteful number, since it uses less digits than its factorization.

642064333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502133 (or 502123 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 40.

The spelling of 642064333504 in words is "six hundred forty-two billion, sixty-four million, three hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1823 3646 7292 14584 20053 29168 40106 58336 80212 116672 160424 320848 500287 641696 1000574 1283392 2001148 4002296 5503157 8004592 11006314 16009184 22012628 32018368 44025256 88050512 176101024 352202048 912023201 1824046402 3648092804 7296185608 10032255211 14592371216 20064510422 29184742432 40129020844 58369484864 80258041688 160516083376 321032166752 642064333504