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175142000272 = 2419358079767
BaseRepresentation
bin1010001100011101000…
…1101101011010010000
3121202001221120110102211
42203013101231122100
510332142323002042
6212243100521504
715440116303411
oct2430721553220
9552057513384
10175142000272
1168306103078
1229b3a850294
13136923435b5
14869693d808
154850ea1017
hex28c746d690

175142000272 has 40 divisors (see below), whose sum is σ = 341189519616. Its totient is φ = 87093344256.

The previous prime is 175142000249. The next prime is 175142000281. The reversal of 175142000272 is 272000241571.

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 7 ways as a sum of consecutive naturals, for example, 17927133 + ... + 17936899.

Almost surely, 2175142000272 is an apocalyptic number.

175142000272 is the 223698-th centered heptagonal number.

It is an amenable number.

175142000272 is a deficient number, since it is larger than the sum of its proper divisors (166047519344).

175142000272 is a wasteful number, since it uses less digits than its factorization.

175142000272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15775 (or 15769 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The spelling of 175142000272 in words is "one hundred seventy-five billion, one hundred forty-two million, two hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 193 386 772 1544 3088 5807 9767 11614 19534 23228 39068 46456 78136 92912 156272 1120751 1885031 2241502 3770062 4483004 7540124 8966008 15080248 17932016 30160496 56716969 113433938 226867876 453735752 907471504 10946375017 21892750034 43785500068 87571000136 175142000272