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147042749952 = 29347310337
BaseRepresentation
bin1000100011110001101…
…1100100111000000000
3112001112122212122110000
42020330123210320000
54402120420444302
6151314524240000
713423566516000
oct2107433447000
9461478778400
10147042749952
11573a688744a
12245b83a0000
1310b349b5367
14718cb16000
153c5918231c
hex223c6e4e00

147042749952 has 400 divisors, whose sum is σ = 511867461600. Its totient is φ = 42008150016.

The previous prime is 147042749947. The next prime is 147042749999. The reversal of 147042749952 is 259947240741.

147042749952 is a `hidden beast` number, since 1 + 470 + 42 + 7 + 49 + 95 + 2 = 666.

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

It is a congruent number.

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, 14219728 + ... + 14230064.

It is an arithmetic number, because the mean of its divisors is an integer number (1279668654).

Almost surely, 2147042749952 is an apocalyptic number.

147042749952 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 147042749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255933730800).

147042749952 is an abundant number, since it is smaller than the sum of its proper divisors (364824711648).

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

147042749952 is an frugal number, since it uses more digits than its factorization.

147042749952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 147042749952 in words is "one hundred forty-seven billion, forty-two million, seven hundred forty-nine thousand, nine hundred fifty-two".