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2109137932960 = 255291463931051
BaseRepresentation
bin11110101100010010011…
…010101101001010100000
321110122001110010021200021
4132230102122231022200
5234024003302323320
64252531413403224
7305244255425362
oct36542232551240
97418043107607
102109137932960
117435314181a3
122a0922039514
13123b77289626
147412338cd32
1539ce458cdaa
hex1eb126ad2a0

2109137932960 has 96 divisors (see below), whose sum is σ = 5155178515200. Its totient is φ = 814481740800.

The previous prime is 2109137932921. The next prime is 2109137932963. The reversal of 2109137932960 is 692397319012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2109137932898 and 2109137932907.

It is not an unprimeable number, because it can be changed into a prime (2109137932963) 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, 67909435 + ... + 67940485.

It is an arithmetic number, because the mean of its divisors is an integer number (53699776200).

Almost surely, 22109137932960 is an apocalyptic number.

2109137932960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2109137932960 is an abundant number, since it is smaller than the sum of its proper divisors (3046040582240).

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

2109137932960 is a wasteful number, since it uses less digits than its factorization.

2109137932960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45734 (or 45726 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 52.

The spelling of 2109137932960 in words is "two trillion, one hundred nine billion, one hundred thirty-seven million, nine hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 14639 29278 31051 58556 62102 73195 117112 124204 146390 155255 234224 248408 292780 310510 424531 468448 496816 585560 621020 849062 900479 993632 1171120 1242040 1698124 1800958 2122655 2342240 2484080 3396248 3601916 4245310 4502395 4968160 6792496 7203832 8490620 9004790 13584992 14407664 16981240 18009580 28815328 33962480 36019160 67924960 72038320 144076640 454555589 909111178 1818222356 2272777945 3636444712 4545555890 7272889424 9091111780 13182112081 14545778848 18182223560 26364224162 36364447120 52728448324 65910560405 72728894240 105456896648 131821120810 210913793296 263642241620 421827586592 527284483240 1054568966480 2109137932960