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12470992934400 = 2933527111324759
BaseRepresentation
bin1011010101111010000100…
…0110101001011000000000
31122011012210221101012121000
42311132201012221120000
53113311043142400100
642305032311132000
72424666554625450
oct265364106513000
948135727335530
1012470992934400
113a78a11436610
121494b66374000
136c60180aa700
143118565c5d60
151695ec1b2900
hexb57a11a9600

12470992934400 has 5760 divisors, whose sum is σ = 64181834956800. Its totient is φ = 2301463756800.

The previous prime is 12470992934383. The next prime is 12470992934423. The reversal of 12470992934400 is 443929907421.

12470992934400 is a `hidden beast` number, since 1 + 24 + 7 + 0 + 9 + 92 + 93 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 575 ways as a sum of consecutive naturals, for example, 211372761571 + ... + 211372761629.

It is an arithmetic number, because the mean of its divisors is an integer number (11142679680).

Almost surely, 212470992934400 is an apocalyptic number.

12470992934400 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 12470992934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32090917478400).

12470992934400 is an abundant number, since it is smaller than the sum of its proper divisors (51710842022400).

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

12470992934400 is a wasteful number, since it uses less digits than its factorization.

12470992934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12470992934400 in words is "twelve trillion, four hundred seventy billion, nine hundred ninety-two million, nine hundred thirty-four thousand, four hundred".