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9472317603840 = 214375721383
BaseRepresentation
bin1000100111010111001000…
…1000000100000000000000
31020112112201002201010000000
42021311302020010000000
52220143301301310330
632051304520000000
71665231601106400
oct211656210040000
936475632633000
109472317603840
113022207387673
12108b970000000
1353930ab423a0
1424a6695d2800
151165e3dd3560
hex89d72204000

9472317603840 has 2880 divisors, whose sum is σ = 43225890865920. Its totient is φ = 1974475948032.

The previous prime is 9472317603817. The next prime is 9472317603869. The reversal of 9472317603840 is 483067132749.

9472317603840 is a `hidden beast` number, since 9 + 4 + 7 + 23 + 1 + 7 + 603 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114124308439 + ... + 114124308521.

It is an arithmetic number, because the mean of its divisors is an integer number (15008989884).

Almost surely, 29472317603840 is an apocalyptic number.

9472317603840 is a gapful number since it is divisible by the number (90) 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 9472317603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21612945432960).

9472317603840 is an abundant number, since it is smaller than the sum of its proper divisors (33753573262080).

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

9472317603840 is an frugal number, since it uses more digits than its factorization.

9472317603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 9472317603840 in words is "nine trillion, four hundred seventy-two billion, three hundred seventeen million, six hundred three thousand, eight hundred forty".