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42974570446848 = 21532673216523
BaseRepresentation
bin10011100010101110011000…
…00000011000000000000000
312122011022212201000010210200
421301113030000120000000
521113043410013244343
6231222124540125200
712023544626466645
oct1161271400300000
9178138781003720
1042974570446848
111276945a744117
1249a0914836800
131ac963b8a30a1
14a87da1d6ddcc
154e7d01bdd4d3
hex2715cc018000

42974570446848 has 192 divisors, whose sum is σ = 124331906779080. Its totient is φ = 14303505678336.

The previous prime is 42974570446823. The next prime is 42974570446867. The reversal of 42974570446848 is 84864407547924.

42974570446848 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 4 + 570 + 4 + 4 + 6 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×429745704468482 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198367515 + ... + 198584037.

Almost surely, 242974570446848 is an apocalyptic number.

42974570446848 is a gapful number since it is divisible by the number (48) 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 42974570446848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62165953389540).

42974570446848 is an abundant number, since it is smaller than the sum of its proper divisors (81357336332232).

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

42974570446848 is an equidigital number, since it uses as much as digits as its factorization.

42974570446848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217232 (or 217201 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 42974570446848 in words is "forty-two trillion, nine hundred seventy-four billion, five hundred seventy million, four hundred forty-six thousand, eight hundred forty-eight".