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11663721216640 = 275134161135841
BaseRepresentation
bin1010100110111010101111…
…1101011011101010000000
31112022001002210012221010101
42221232223331123222000
53012044300112413030
640450123424412144
72312450612350213
oct251565375335200
945261083187111
1011663721216640
113797613610719
121384610777054
13667b6575047c
142c47545b377a
151536007d27ca
hexa9babf5ba80

11663721216640 has 64 divisors (see below), whose sum is σ = 27883996638120. Its totient is φ = 4665419366400.

The previous prime is 11663721216611. The next prime is 11663721216661. The reversal of 11663721216640 is 4661212736611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9827522772544 + 1836198444096 = 3134888^2 + 1355064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85795120 + ... + 85930960.

Almost surely, 211663721216640 is an apocalyptic number.

11663721216640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11663721216640 is an abundant number, since it is smaller than the sum of its proper divisors (16220275421480).

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

11663721216640 is a wasteful number, since it uses less digits than its factorization.

11663721216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270021 (or 270009 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 11663721216640 in words is "eleven trillion, six hundred sixty-three billion, seven hundred twenty-one million, two hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 134161 135841 268322 271682 536644 543364 670805 679205 1073288 1086728 1341610 1358410 2146576 2173456 2683220 2716820 4293152 4346912 5366440 5433640 8586304 8693824 10732880 10867280 17172608 17387648 21465760 21734560 42931520 43469120 85863040 86938240 18224564401 36449128802 72898257604 91122822005 145796515208 182245644010 291593030416 364491288020 583186060832 728982576040 1166372121664 1457965152080 2332744243328 2915930304160 5831860608320 11663721216640