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11345902880 = 255132419597
BaseRepresentation
bin10101001000100010…
…01011110100100000
31002021201022120210012
422210101023310200
5141214022343010
65113502024052
7551106404024
oct124421136440
932251276705
1011345902880
1148a2514844
122247878028
1310ba7a7a00
14798bd2384
15466119005
hex2a444bd20

11345902880 has 72 divisors (see below), whose sum is σ = 29025272052. Its totient is φ = 4189246464.

The previous prime is 11345902873. The next prime is 11345902907. The reversal of 11345902880 is 8820954311.

It can be written as a sum of positive squares in 6 ways, for example, as 1948816 + 11343954064 = 1396^2 + 106508^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182759 + ... + 236838.

Almost surely, 211345902880 is an apocalyptic number.

11345902880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11345902880 is an abundant number, since it is smaller than the sum of its proper divisors (17679369172).

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

11345902880 is a wasteful number, since it uses less digits than its factorization.

11345902880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419638 (or 419617 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 11345902880 in words is "eleven billion, three hundred forty-five million, nine hundred two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 13520 27040 419597 839194 1678388 2097985 3356776 4195970 5454761 6713552 8391940 10909522 13427104 16783880 21819044 27273805 33567760 43638088 54547610 67135520 70911893 87276176 109095220 141823786 174552352 218190440 283647572 354559465 436380880 567295144 709118930 872761760 1134590288 1418237860 2269180576 2836475720 5672951440 11345902880