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147930579605952 = 263311132113407527
BaseRepresentation
bin100001101000101011000101…
…101001100001100111000000
3201101210000200102220112111000
4201220223011221201213000
5123342143311334342302
61242342211535052000
743105426444505043
oct4150530551414700
9641700612815430
10147930579605952
11431540087109a0
1214711b2b971000
136470a41c95200
142875c41d0cc5a
151218031b8131c
hex868ac5a619c0

147930579605952 has 672 divisors, whose sum is σ = 518272723330560. Its totient is φ = 41012895006720.

The previous prime is 147930579605929. The next prime is 147930579605953. The reversal of 147930579605952 is 259506975039741.

147930579605952 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 3 + 0 + 5 + 7 + 9 + 605 + 9 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147930579605953) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 362792013 + ... + 363199539.

Almost surely, 2147930579605952 is an apocalyptic number.

147930579605952 is a gapful number since it is divisible by the number (12) 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 147930579605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259136361665280).

147930579605952 is an abundant number, since it is smaller than the sum of its proper divisors (370342143724608).

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

147930579605952 is a wasteful number, since it uses less digits than its factorization.

147930579605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407698 (or 407669 counting only the distinct ones).

The product of its (nonzero) digits is 642978000, while the sum is 72.

The spelling of 147930579605952 in words is "one hundred forty-seven trillion, nine hundred thirty billion, five hundred seventy-nine million, six hundred five thousand, nine hundred fifty-two".