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11593929984 = 283721321823
BaseRepresentation
bin10101100110000110…
…10101010100000000
31002221000000200000020
422303003111110000
5142221021224414
65154242053440
7560210531100
oct126303252400
932830020006
1011593929984
114a0a52021a
1222b694a280
131129ca9400
147bdb17200
1547ccad7a9
hex2b30d5500

11593929984 has 324 divisors, whose sum is σ = 38889438336. Its totient is φ = 3056062464.

The previous prime is 11593929973. The next prime is 11593930001. The reversal of 11593929984 is 48992939511.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6358897 + ... + 6360719.

Almost surely, 211593929984 is an apocalyptic number.

11593929984 is a gapful number since it is divisible by the number (14) 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 11593929984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19444719168).

11593929984 is an abundant number, since it is smaller than the sum of its proper divisors (27295508352).

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

11593929984 is a wasteful number, since it uses less digits than its factorization.

11593929984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1848 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 60.

The spelling of 11593929984 in words is "eleven billion, five hundred ninety-three million, nine hundred twenty-nine thousand, nine hundred eighty-four".