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10345180080 = 2435220719531
BaseRepresentation
bin10011010001001111…
…01110101110110000
3222200222021121011210
421220213232232300
5132141331230310
64430313040120
7514235402604
oct115047565660
928628247153
1010345180080
114429647a04
1220086b6040
13c8b376841
14701d37504
15408343820
hex2689eebb0

10345180080 has 80 divisors (see below), whose sum is σ = 32086232064. Its totient is φ = 2757323520.

The previous prime is 10345180067. The next prime is 10345180123. The reversal of 10345180080 is 8008154301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 519915 + ... + 539445.

Almost surely, 210345180080 is an apocalyptic number.

10345180080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345180080 is an abundant number, since it is smaller than the sum of its proper divisors (21741051984).

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

10345180080 is a wasteful number, since it uses less digits than its factorization.

10345180080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21754 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 10345180080 in words is "ten billion, three hundred forty-five million, one hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2207 4414 6621 8828 11035 13242 17656 19531 22070 26484 33105 35312 39062 44140 52968 58593 66210 78124 88280 97655 105936 117186 132420 156248 176560 195310 234372 264840 292965 312496 390620 468744 529680 585930 781240 937488 1171860 1562480 2343720 4687440 43104917 86209834 129314751 172419668 215524585 258629502 344839336 431049170 517259004 646573755 689678672 862098340 1034518008 1293147510 1724196680 2069036016 2586295020 3448393360 5172590040 10345180080