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11373506307072 = 210311713253
BaseRepresentation
bin1010010110000001100111…
…0011011010010000000000
31111021022000012200000000000
42211200121303122100000
52442320420103311242
640104530000000000
72252465042334150
oct245403163322000
944238005600000
1011373506307072
113695527892718
121338318300000
13646694c34600
142b46a2c50760
1514acb71cea4c
hexa5819cda400

11373506307072 has 1584 divisors, whose sum is σ = 43000838375040. Its totient is φ = 2943009718272.

The previous prime is 11373506307043. The next prime is 11373506307089. The reversal of 11373506307072 is 27070360537311.

11373506307072 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 3 + 5 + 0 + 630 + 7 + 0 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 214594458598 + ... + 214594458650.

Almost surely, 211373506307072 is an apocalyptic number.

11373506307072 is a gapful number since it is divisible by the number (12) 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 11373506307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21500419187520).

11373506307072 is an abundant number, since it is smaller than the sum of its proper divisors (31627332067968).

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

11373506307072 is an frugal number, since it uses more digits than its factorization.

11373506307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 11373506307072 in words is "eleven trillion, three hundred seventy-three billion, five hundred six million, three hundred seven thousand, seventy-two".