Search a number
-
+
45709605744 = 24311711219313
BaseRepresentation
bin101010100100100000…
…010011101101110000
311100222120200120010220
4222210200103231300
51222103124340434
632555415253040
73205504144455
oct524440235560
9140876616126
1045709605744
1118426976380
128a3807a180
134405c347ba
1422d89c782c
1512c7dabd49
hexaa4813b70

45709605744 has 80 divisors (see below), whose sum is σ = 130632424704. Its totient is φ = 13656294400.

The previous prime is 45709605743. The next prime is 45709605791. The reversal of 45709605744 is 44750690754.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45709605743) 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, 572169 + ... + 647144.

Almost surely, 245709605744 is an apocalyptic number.

45709605744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45709605744 is an abundant number, since it is smaller than the sum of its proper divisors (84922818960).

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

45709605744 is a wasteful number, since it uses less digits than its factorization.

45709605744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219406 (or 1219400 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 45709605744 in words is "forty-five billion, seven hundred nine million, six hundred five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1136 1562 1704 2343 3124 3408 4686 6248 9372 12496 18744 37488 1219313 2438626 3657939 4877252 7315878 9754504 13412443 14631756 19509008 26824886 29263512 40237329 53649772 58527024 80474658 86571223 107299544 160949316 173142446 214599088 259713669 321898632 346284892 519427338 643797264 692569784 952283453 1038854676 1385139568 1904566906 2077709352 2856850359 3809133812 4155418704 5713700718 7618267624 11427401436 15236535248 22854802872 45709605744