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151294380993 = 32731151513031
BaseRepresentation
bin1000110011100111011…
…0010000101111000001
3112110111222001212210100
42030321312100233001
54434322330142433
6153300443353013
713634134006530
oct2147166205701
9473458055710
10151294380993
1159188808808
12253a4222769
131136179a982
14747364c317
153e0755eb13
hex2339d90bc1

151294380993 has 48 divisors (see below), whose sum is σ = 259520315392. Its totient is φ = 83110860000.

The previous prime is 151294380947. The next prime is 151294381003. The reversal of 151294380993 is 399083492151.

151294380993 is a `hidden beast` number, since 1 + 512 + 9 + 4 + 38 + 0 + 9 + 93 = 666.

It is not a de Polignac number, because 151294380993 - 28 = 151294380737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151294380943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38388 + ... + 551418.

Almost surely, 2151294380993 is an apocalyptic number.

It is an amenable number.

151294380993 is a deficient number, since it is larger than the sum of its proper divisors (108225934399).

151294380993 is a wasteful number, since it uses less digits than its factorization.

151294380993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513226 (or 513223 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 151294380993 in words is "one hundred fifty-one billion, two hundred ninety-four million, three hundred eighty thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 31 63 93 151 217 279 453 651 1057 1359 1953 3171 4681 9513 14043 32767 42129 98301 294903 513031 1539093 3591217 4617279 10773651 15903961 32320953 47711883 77467681 111327727 143135649 232403043 333983181 542273767 697209129 1001949543 1626821301 2401498111 4880463903 7204494333 16810486777 21613482999 50431460331 151294380993