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21407330112960 = 26351131319013407
BaseRepresentation
bin1001101111000010010000…
…10011101001010111000000
32210210112001122100121202210
410313201020103221113000
510301214203002103320
6113310220334342120
74336425411426441
oct467411023512700
983715048317683
1021407330112960
116903885840720
122498a7365a940
13bc3919705b4c
145401981952c8
15271cc17bb0e0
hex1378484e95c0

21407330112960 has 448 divisors, whose sum is σ = 74445072205824. Its totient is φ = 5168836608000.

The previous prime is 21407330112899. The next prime is 21407330113033. The reversal of 21407330112960 is 6921103370412.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6283335577 + ... + 6283338983.

Almost surely, 221407330112960 is an apocalyptic number.

21407330112960 is a gapful number since it is divisible by the number (20) 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 21407330112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37222536102912).

21407330112960 is an abundant number, since it is smaller than the sum of its proper divisors (53037742092864).

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

21407330112960 is a wasteful number, since it uses less digits than its factorization.

21407330112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 21407330112960 in words is "twenty-one trillion, four hundred seven billion, three hundred thirty million, one hundred twelve thousand, nine hundred sixty".