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11990618640 = 2432571113127131
BaseRepresentation
bin10110010101011001…
…00101001000010000
31010221122110112112200
423022230211020100
5144024044244030
65301452323200
7603065401560
oct131254451020
933848415480
1011990618640
1150a3434290
1223a7773500
13119122b720
1481a698da0
154a2a1ad60
hex2cab25210

11990618640 has 960 divisors, whose sum is σ = 54908485632. Its totient is φ = 2264371200.

The previous prime is 11990618623. The next prime is 11990618641. The reversal of 11990618640 is 4681609911.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11990618641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91531375 + ... + 91531505.

Almost surely, 211990618640 is an apocalyptic number.

11990618640 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 11990618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27454242816).

11990618640 is an abundant number, since it is smaller than the sum of its proper divisors (42917866992).

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

11990618640 is a wasteful number, since it uses less digits than its factorization.

11990618640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11990618640 in words is "eleven billion, nine hundred ninety million, six hundred eighteen thousand, six hundred forty".