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148696231317120 = 2733514071611549
BaseRepresentation
bin100001110011110100001010…
…000011000000111010000000
3201111111012222000200102012000
4201303310022003000322000
5123442214340204121440
61244130034452304000
743214643141615234
oct4163641203007200
9644435860612160
10148696231317120
1143419799091923
12148163ab012000
1364c7cc0a50a06
1428a0d165325c4
15122cde4727730
hex873d0a0c0e80

148696231317120 has 256 divisors, whose sum is σ = 526670773920000. Its totient is φ = 39649445498880.

The previous prime is 148696231317107. The next prime is 148696231317191. The reversal of 148696231317120 is 21713132696841.

148696231317120 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 9 + 623 + 1 + 3 + 1 + 7 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×1486962313171202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 242841106 + ... + 243452654.

It is an arithmetic number, because the mean of its divisors is an integer number (2057307710625).

Almost surely, 2148696231317120 is an apocalyptic number.

148696231317120 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 148696231317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263335386960000).

148696231317120 is an abundant number, since it is smaller than the sum of its proper divisors (377974542602880).

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

148696231317120 is a wasteful number, since it uses less digits than its factorization.

148696231317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625648 (or 625630 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 148696231317120 in words is "one hundred forty-eight trillion, six hundred ninety-six billion, two hundred thirty-one million, three hundred seventeen thousand, one hundred twenty".