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11689643680 = 25511133116481
BaseRepresentation
bin10101110001100000…
…11100111010100000
31010011200010102111221
422320300130322200
5142420022044210
65211541344424
7562452221551
oct127060347240
933150112457
1011689643680
114a59554350
122322a08114
131143a7bc30
147cc710328
154863b81da
hex2b8c1cea0

11689643680 has 192 divisors, whose sum is σ = 33493533696. Its totient is φ = 3796992000.

The previous prime is 11689643639. The next prime is 11689643737. The reversal of 11689643680 is 8634698611.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701040 + ... + 717520.

It is an arithmetic number, because the mean of its divisors is an integer number (174445488).

Almost surely, 211689643680 is an apocalyptic number.

11689643680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11689643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746766848).

11689643680 is an abundant number, since it is smaller than the sum of its proper divisors (21803890016).

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

11689643680 is a wasteful number, since it uses less digits than its factorization.

11689643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16551 (or 16543 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 11689643680 in words is "eleven billion, six hundred eighty-nine million, six hundred forty-three thousand, six hundred eighty".