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93427840000 = 210541123577
BaseRepresentation
bin101011100000010111…
…0111011010000000000
322221011010222000121101
41113000232323100000
53012320011340000
6110530430504144
76515141352115
oct1270056732000
9287133860541
1093427840000
1136693642010
1216134965054
138a6c044b81
14474427490c
15266c282e6a
hex15c0bbb400

93427840000 has 440 divisors, whose sum is σ = 266127162048. Its totient is φ = 32440320000.

The previous prime is 93427839983. The next prime is 93427840013. The reversal of 93427840000 is 4872439.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (440).

It is a super-2 number, since 2×934278400002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161919712 + ... + 161920288.

Almost surely, 293427840000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93427840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133063581024).

93427840000 is an abundant number, since it is smaller than the sum of its proper divisors (172699322048).

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

93427840000 is a wasteful number, since it uses less digits than its factorization.

93427840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 93427840000 in words is "ninety-three billion, four hundred twenty-seven million, eight hundred forty thousand".