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3545345120010 = 2357114511147127
BaseRepresentation
bin110011100101110111000…
…010010101011100001010
3110112221011012022202101220
4303211313002111130022
5431041331322320020
611312413054022510
7514066646202501
oct63456702253412
913487135282356
103545345120010
111147632990a71
12493140aa7a36
131c942b226a25
14c384a545838
1562351238240
hex3397709570a

3545345120010 has 64 divisors (see below), whose sum is σ = 8634625173504. Its totient is φ = 931466312000.

The previous prime is 3545345119961. The next prime is 3545345120047. The reversal of 3545345120010 is 100215435453.

3545345120010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2517067 + ... + 3664193.

It is an arithmetic number, because the mean of its divisors is an integer number (134916018336).

Almost surely, 23545345120010 is an apocalyptic number.

3545345120010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3545345120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317312586752).

3545345120010 is an abundant number, since it is smaller than the sum of its proper divisors (5089280053494).

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

3545345120010 is a wasteful number, since it uses less digits than its factorization.

3545345120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148659.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 3545345120010 in words is "three trillion, five hundred forty-five billion, three hundred forty-five million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1065 1451 2130 2902 4353 7255 8706 14510 21765 43530 103021 206042 309063 515105 618126 1030210 1147127 1545315 2294254 3090630 3441381 5735635 6882762 11471270 17206905 34413810 81446017 162892034 244338051 407230085 488676102 814460170 1221690255 1664481277 2443380510 3328962554 4993443831 8322406385 9986887662 16644812770 24967219155 49934438310 118178170667 236356341334 354534512001 590890853335 709069024002 1181781706670 1772672560005 3545345120010