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11439267840 = 2133257111331
BaseRepresentation
bin10101010011101010…
…10110000000000000
31002112020000000102200
422221311112000000
5141411423032330
65131035113200
7553322113050
oct125165260000
932466000380
1011439267840
114940194270
122272ba2800
131103c37450
147a7377560
1546e40ca60
hex2a9d56000

11439267840 has 1344 divisors, whose sum is σ = 54958804992. Its totient is φ = 2123366400.

The previous prime is 11439267821. The next prime is 11439267883. The reversal of 11439267840 is 4876293411.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 369008625 + ... + 369008655.

It is an arithmetic number, because the mean of its divisors is an integer number (40891968).

Almost surely, 211439267840 is an apocalyptic number.

11439267840 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 11439267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27479402496).

11439267840 is an abundant number, since it is smaller than the sum of its proper divisors (43519537152).

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

11439267840 is a wasteful number, since it uses less digits than its factorization.

11439267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11439267840 in words is "eleven billion, four hundred thirty-nine million, two hundred sixty-seven thousand, eight hundred forty".