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146578157952 = 273381713953
BaseRepresentation
bin1000100010000010111…
…1010011000110000000
3112000100021122221000220
42020200233103012000
54400143002023302
6151200450343040
713406225533242
oct2104057230600
9460307587026
10146578157952
1157188604616
12244a888aa80
1310a8c679955
14714713a092
153c2d4b04bc
hex2220bd3180

146578157952 has 32 divisors (see below), whose sum is σ = 389348233080. Its totient is φ = 48859385856.

The previous prime is 146578157941. The next prime is 146578157963. The reversal of 146578157952 is 259751875641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (146578157941) and next prime (146578157963).

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 190856593 + ... + 190857360.

Almost surely, 2146578157952 is an apocalyptic number.

146578157952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146578157952 is an abundant number, since it is smaller than the sum of its proper divisors (242770075128).

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

146578157952 is an equidigital number, since it uses as much as digits as its factorization.

146578157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381713970 (or 381713958 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 60.

The spelling of 146578157952 in words is "one hundred forty-six billion, five hundred seventy-eight million, one hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 381713953 763427906 1145141859 1526855812 2290283718 3053711624 4580567436 6107423248 9161134872 12214846496 18322269744 24429692992 36644539488 48859385984 73289078976 146578157952