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148386641343264 = 2534577863114967
BaseRepresentation
bin100001101111010011110101…
…000010111111001100100000
3201110101121212011112020110000
4201233103311002333030200
5123422131320140441024
61243331514300540000
743153403205351252
oct4157236502771440
9643347764466400
10148386641343264
114330a46a6742a5
12147863a9b51600
1364a4a5317697c
14288dd478c1cd2
151224d2519ecc9
hex86f4f50bf320

148386641343264 has 240 divisors, whose sum is σ = 437667680153088. Its totient is φ = 49318846783488.

The previous prime is 148386641343257. The next prime is 148386641343301. The reversal of 148386641343264 is 462343146683841.

148386641343264 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 86 + 64 + 1 + 3 + 432 + 64 = 666.

148386641343264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1290631509 + ... + 1290746475.

Almost surely, 2148386641343264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148386641343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218833840076544).

148386641343264 is an abundant number, since it is smaller than the sum of its proper divisors (289281038809824).

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

148386641343264 is a wasteful number, since it uses less digits than its factorization.

148386641343264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116429 (or 116412 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 63.

The spelling of 148386641343264 in words is "one hundred forty-eight trillion, three hundred eighty-six billion, six hundred forty-one million, three hundred forty-three thousand, two hundred sixty-four".