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149456973105 = 325111181255659
BaseRepresentation
bin1000101100110001010…
…1000110110100110001
3112021202220122220000100
42023030111012310301
54422041441114410
6152354245343013
713540453211316
oct2131425066461
9467686586010
10149456973105
1158425623aa0
1224b70a07a69
131112ac10b7b
14733b5d8d0d
153d4b0b78c0
hex22cc546d31

149456973105 has 48 divisors (see below), whose sum is σ = 282849952320. Its totient is φ = 72402345600.

The previous prime is 149456973041. The next prime is 149456973121. The reversal of 149456973105 is 501379654941.

149456973105 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 569 + 73 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 149456973105 - 26 = 149456973041 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 456766 + ... + 712424.

It is an arithmetic number, because the mean of its divisors is an integer number (5892707340).

Almost surely, 2149456973105 is an apocalyptic number.

149456973105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149456973105 is a deficient number, since it is larger than the sum of its proper divisors (133392979215).

149456973105 is a wasteful number, since it uses less digits than its factorization.

149456973105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256862 (or 256859 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 149456973105 in words is "one hundred forty-nine billion, four hundred fifty-six million, nine hundred seventy-three thousand, one hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 1181 3543 5905 10629 12991 17715 38973 53145 64955 116919 194865 255659 584595 766977 1278295 2300931 2812249 3834885 8436747 11504655 14061245 25310241 42183735 126551205 301933279 905799837 1509666395 2717399511 3321266069 4528999185 9963798207 13586997555 16606330345 29891394621 49818991035 149456973105