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11427974970048 = 263371361219531
BaseRepresentation
bin1010011001001100100001…
…1000110111101011000000
31111110111121020001202211000
42212103020120313223000
52444213443043020143
640145534512252000
72256433605332640
oct246231030675300
944414536052730
1011427974970048
113706638a4236a
121346999841000
1364b8657283c0
142b718cc50520
1514c404022bd3
hexa64c8637ac0

11427974970048 has 672 divisors, whose sum is σ = 42040201781760. Its totient is φ = 2964410265600.

The previous prime is 11427974969927. The next prime is 11427974970089. The reversal of 11427974970048 is 84007947972411.

11427974970048 is a `hidden beast` number, since 1 + 14 + 2 + 7 + 97 + 497 + 0 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×114279749700482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 585110043 + ... + 585129573.

It is an arithmetic number, because the mean of its divisors is an integer number (62559824080).

Almost surely, 211427974970048 is an apocalyptic number.

11427974970048 is a gapful number since it is divisible by the number (18) 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 11427974970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21020100890880).

11427974970048 is an abundant number, since it is smaller than the sum of its proper divisors (30612226811712).

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

11427974970048 is a wasteful number, since it uses less digits than its factorization.

11427974970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19694 (or 19617 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 11427974970048 in words is "eleven trillion, four hundred twenty-seven billion, nine hundred seventy-four million, nine hundred seventy thousand, forty-eight".