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10721923914240 = 29375721121719
BaseRepresentation
bin1001110000000110010001…
…1101110101101000000000
31101222000011022102220000000
42130001210131311220000
52401132000010223430
634445330040000000
72154430161355200
oct234014435655000
941860138386000
1010721923914240
113464162590a00
121251b92760000
135ca0c4757886
14290d3004a400
15138d7dae9e60
hex9c064775a00

10721923914240 has 5760 divisors, whose sum is σ = 54945195782400. Its totient is φ = 1986515435520.

The previous prime is 10721923914209. The next prime is 10721923914277. The reversal of 10721923914240 is 4241932912701.

10721923914240 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 19 + 2 + 391 + 4 + 240 = 666.

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

It is a super-2 number, since 2×107219239142402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 564311784951 + ... + 564311784969.

It is an arithmetic number, because the mean of its divisors is an integer number (9539096490).

Almost surely, 210721923914240 is an apocalyptic number.

10721923914240 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 10721923914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27472597891200).

10721923914240 is an abundant number, since it is smaller than the sum of its proper divisors (44223271868160).

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

10721923914240 is an equidigital number, since it uses as much as digits as its factorization.

10721923914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10721923914240 in words is "ten trillion, seven hundred twenty-one billion, nine hundred twenty-three million, nine hundred fourteen thousand, two hundred forty".