Search a number
-
+
130013761668528 = 24331776591125109
BaseRepresentation
bin11101100011111100110000…
…000101001000010110110000
3122001100012020121000111000210
4131203330300011020112300
5114020121140441343103
61140303255250144120
736246120134024163
oct3543746005102660
9561305217014023
10130013761668528
1138476588012501
12126b9655882040
1357713256a880a
1424169b1b55ada
151006e527eee03
hex763f301485b0

130013761668528 has 80 divisors (see below), whose sum is σ = 346708137036800. Its totient is φ = 41939345790720.

The previous prime is 130013761668509. The next prime is 130013761668587. The reversal of 130013761668528 is 825866167310031.

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, 114994038 + ... + 116119146.

It is an arithmetic number, because the mean of its divisors is an integer number (4333851712960).

Almost surely, 2130013761668528 is an apocalyptic number.

It is an amenable number.

130013761668528 is an abundant number, since it is smaller than the sum of its proper divisors (216694375368272).

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

130013761668528 is a wasteful number, since it uses less digits than its factorization.

130013761668528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202810 (or 1202804 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 130013761668528 in words is "one hundred thirty trillion, thirteen billion, seven hundred sixty-one million, six hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 77659 155318 232977 310636 465954 621272 931908 1125109 1242544 1863816 2250218 2407429 3375327 3727632 4500436 4814858 6750654 7222287 9000872 9629716 13501308 14444574 18001744 19259432 27002616 28889148 34878379 38518864 54005232 57778296 69756758 104635137 115556592 139513516 209270274 279027032 418540548 558054064 837081096 1674162192 87374839831 174749679662 262124519493 349499359324 524249038986 698998718648 1048498077972 1397997437296 2096996155944 2708620034761 4193992311888 5417240069522 8125860104283 10834480139044 16251720208566 21668960278088 32503440417132 43337920556176 65006880834264 130013761668528