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11589954340 = 2251742977933
BaseRepresentation
bin10101100101101000…
…01010101100100100
31002220201112200110011
422302310022230210
5142214012014330
65154020540004
7560131662226
oct126264125444
932821480404
1011589954340
114a08255268
1222b5551604
131129216963
147bd3a0416
1547c77582a
hex2b2d0ab24

11589954340 has 48 divisors (see below), whose sum is σ = 25779850992. Its totient is φ = 4361711616.

The previous prime is 11589954307. The next prime is 11589954347. The reversal of 11589954340 is 4345998511.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3154176 + 11586800164 = 1776^2 + 107642^2 .

It is not an unprimeable number, because it can be changed into a prime (11589954347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1457014 + ... + 1464946.

It is an arithmetic number, because the mean of its divisors is an integer number (537080229).

Almost surely, 211589954340 is an apocalyptic number.

11589954340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11589954340 is an abundant number, since it is smaller than the sum of its proper divisors (14189896652).

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

11589954340 is a wasteful number, since it uses less digits than its factorization.

11589954340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12256 (or 12254 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 11589954340 in words is "eleven billion, five hundred eighty-nine million, nine hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 4297 7933 8594 15866 17188 21485 31732 39665 42970 73049 79330 85940 134861 146098 158660 269722 292196 365245 539444 674305 730490 1348610 1460980 2697220 34088101 68176202 136352404 170440505 340881010 579497717 681762020 1158995434 2317990868 2897488585 5794977170 11589954340