Search a number
-
+
130922912064 = 2637313142351
BaseRepresentation
bin111100111101110011…
…1010001100101000000
3110111221020120000222010
41321323213101211000
54121112231141224
6140051204212520
712313251251040
oct1717347214500
9414836500863
10130922912064
115058463067a
122145999a140
13c466160c49
14649dcab720
153613db8e29
hex1e7b9d1940

130922912064 has 112 divisors (see below), whose sum is σ = 408656592896. Its totient is φ = 36199872000.

The previous prime is 130922912063. The next prime is 130922912069. The reversal of 130922912064 is 460219229031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130922912063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1529512 + ... + 1612839.

Almost surely, 2130922912064 is an apocalyptic number.

130922912064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130922912064 is an abundant number, since it is smaller than the sum of its proper divisors (277733680832).

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

130922912064 is a wasteful number, since it uses less digits than its factorization.

130922912064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142404 (or 3142394 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 130922912064 in words is "one hundred thirty billion, nine hundred twenty-two million, nine hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 41664 3142351 6284702 9427053 12569404 18854106 21996457 25138808 37708212 43992914 50277616 65989371 75416424 87985828 97412881 100555232 131978742 150832848 175971656 194825762 201110464 263957484 292238643 301665696 351943312 389651524 527914968 584477286 603331392 681890167 703886624 779303048 1055829936 1168954572 1363780334 1407773248 1558606096 2045670501 2111659872 2337909144 2727560668 3117212192 4091341002 4223319744 4675818288 5455121336 6234424384 8182682004 9351636576 10910242672 16365364008 18703273152 21820485344 32730728016 43640970688 65461456032 130922912064