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149460605217 = 35721119229109
BaseRepresentation
bin1000101100110010001…
…0111101100100100001
3112021210011111102100000
42023030202331210201
54422043403331332
6152354455250213
713540526116500
oct2131442754441
9467704442300
10149460605217
1158427684940
1224b72079969
131112b8b3151
14733bca2837
153d4b583b7c
hex22cc8bd921

149460605217 has 432 divisors, whose sum is σ = 313037524800. Its totient is φ = 70367512320.

The previous prime is 149460605213. The next prime is 149460605243. The reversal of 149460605217 is 712506064941.

149460605217 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 60 + 60 + 521 + 7 = 666.

It is not a de Polignac number, because 149460605217 - 22 = 149460605213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149460605213) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 1371198159 + ... + 1371198267.

It is an arithmetic number, because the mean of its divisors is an integer number (724623900).

Almost surely, 2149460605217 is an apocalyptic number.

It is an amenable number.

149460605217 is an abundant number, since it is smaller than the sum of its proper divisors (163576919583).

149460605217 is a wasteful number, since it uses less digits than its factorization.

149460605217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 149460605217 in words is "one hundred forty-nine billion, four hundred sixty million, six hundred five thousand, two hundred seventeen".