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1087045266900 = 223524777095409
BaseRepresentation
bin11111101000110001111…
…00100110110111010100
310211220212001110010210010
433310120330212313110
5120302232042020100
62151214240400220
7141351665212245
oct17643074466724
93756761403703
101087045266900
1138a0167942aa
12156815316070
137b67abc5528
143a882b62ccc
151d4234e1750
hexfd18f26dd4

1087045266900 has 72 divisors (see below), whose sum is σ = 3212103162240. Its totient is φ = 283711101440.

The previous prime is 1087045266889. The next prime is 1087045266911. The reversal of 1087045266900 is 96625407801.

It is an interprime number because it is at equal distance from previous prime (1087045266889) and next prime (1087045266911).

It is a super-2 number, since 2×10870452669002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1087045266900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38533605 + ... + 38561804.

It is an arithmetic number, because the mean of its divisors is an integer number (44612543920).

Almost surely, 21087045266900 is an apocalyptic number.

1087045266900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1087045266900 is an abundant number, since it is smaller than the sum of its proper divisors (2125057895340).

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

1087045266900 is a wasteful number, since it uses less digits than its factorization.

1087045266900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77095473 (or 77095466 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1087045266900 in words is "one trillion, eighty-seven billion, forty-five million, two hundred sixty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 77095409 154190818 231286227 308381636 385477045 462572454 770954090 925144908 1156431135 1541908180 1927385225 2312862270 3623484223 3854770450 4625724540 5782155675 7246968446 7709540900 10870452669 11564311350 14493936892 18117421115 21740905338 23128622700 36234842230 43481810676 54352263345 72469684460 90587105575 108704526690 181174211150 217409053380 271761316725 362348422300 543522633450 1087045266900