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11523668244330 = 235113741197116849
BaseRepresentation
bin1010011110110001000000…
…1001101111011101101010
31111210122121020211210000210
42213230100021233131222
53002300433032304310
640301522231241550
72266362145623534
oct247542011573552
944718536753023
1011523668244330
113743184336710
1213614452192b6
136578a5c02218
142bba69d16854
1514eb550ea820
hexa7b1026f76a

11523668244330 has 256 divisors, whose sum is σ = 31903662067200. Its totient is φ = 2638334361600.

The previous prime is 11523668244241. The next prime is 11523668244409. The reversal of 11523668244330 is 3344286632511.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11523668244330.

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 127 ways as a sum of consecutive naturals, for example, 98561746 + ... + 98678594.

It is an arithmetic number, because the mean of its divisors is an integer number (124623679950).

Almost surely, 211523668244330 is an apocalyptic number.

11523668244330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11523668244330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15951831033600).

11523668244330 is an abundant number, since it is smaller than the sum of its proper divisors (20379993822870).

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

11523668244330 is a wasteful number, since it uses less digits than its factorization.

11523668244330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117145.

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 11523668244330 in words is "eleven trillion, five hundred twenty-three billion, six hundred sixty-eight million, two hundred forty-four thousand, three hundred thirty".