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11581940293416 = 233365382113467
BaseRepresentation
bin1010100010001010000101…
…1011111101111100101000
31112000020000022222120202000
42220202201123331330220
53004224303203342131
640344400411411000
72303524164103503
oct250424133757450
945006008876660
1011581940293416
11376596739a669
1213707a8453a60
1366023167773c
142c07d70ca13a
15151415cc7ce6
hexa88a16fdf28

11581940293416 has 64 divisors (see below), whose sum is σ = 32221324843200. Its totient is φ = 3854734547904.

The previous prime is 11581940293393. The next prime is 11581940293453. The reversal of 11581940293416 is 61439204918511.

11581940293416 is a `hidden beast` number, since 1 + 1 + 58 + 1 + 94 + 0 + 2 + 93 + 416 = 666.

11581940293416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 40915686 + ... + 41197781.

It is an arithmetic number, because the mean of its divisors is an integer number (503458200675).

Almost surely, 211581940293416 is an apocalyptic number.

It is an amenable number.

11581940293416 is an abundant number, since it is smaller than the sum of its proper divisors (20639384549784).

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

11581940293416 is a wasteful number, since it uses less digits than its factorization.

11581940293416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82114135 (or 82114125 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 11581940293416 in words is "eleven trillion, five hundred eighty-one billion, nine hundred forty million, two hundred ninety-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 653 1306 1959 2612 3918 5224 5877 7836 11754 15672 17631 23508 35262 47016 70524 141048 82113467 164226934 246340401 328453868 492680802 656907736 739021203 985361604 1478042406 1970723208 2217063609 2956084812 4434127218 5912169624 8868254436 17736508872 53620093951 107240187902 160860281853 214480375804 321720563706 428960751608 482580845559 643441127412 965161691118 1286882254824 1447742536677 1930323382236 2895485073354 3860646764472 5790970146708 11581940293416