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11732999040 = 273457231149
BaseRepresentation
bin10101110110101011…
…10101101110000000
31010021200201002220000
422323111311232000
5143012121432130
65220130520000
7563516563200
oct127325655600
933250632800
1011732999040
114a80a76924
122335436000
13114ca4baa9
147d4398400
1548a0ce260
hex2bb575b80

11732999040 has 960 divisors, whose sum is σ = 50651568000. Its totient is φ = 2577899520.

The previous prime is 11732999023. The next prime is 11732999081. The reversal of 11732999040 is 4099923711.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 78744886 + ... + 78745034.

It is an arithmetic number, because the mean of its divisors is an integer number (52762050).

Almost surely, 211732999040 is an apocalyptic number.

11732999040 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 11732999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25325784000).

11732999040 is an abundant number, since it is smaller than the sum of its proper divisors (38918568960).

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

11732999040 is a wasteful number, since it uses less digits than its factorization.

11732999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 11732999040 in words is "eleven billion, seven hundred thirty-two million, nine hundred ninety-nine thousand, forty".