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137219713802946 = 23226996492937037
BaseRepresentation
bin11111001100110011110100…
…010011000010001011000010
3122222212002001210020220100100
4133030303310103002023002
5120441201433213143241
61203501511040503230
740621540266402105
oct3714636423021302
9588762053226310
10137219713802946
113a7a46101496a5
121348212461ab16
135b749c0500328
1425c568077c73c
1510ce5edca39b6
hex7cccf44c22c2

137219713802946 has 48 divisors (see below), whose sum is σ = 298445647851000. Its totient is φ = 45565129511424.

The previous prime is 137219713802911. The next prime is 137219713803013. The reversal of 137219713802946 is 649208317912731.

137219713802946 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 197 + 1 + 380 + 29 + 46 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47089582974225 + 90130130828721 = 6862185^2 + 9493689^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45251940 + ... + 48188976.

Almost surely, 2137219713802946 is an apocalyptic number.

137219713802946 is an abundant number, since it is smaller than the sum of its proper divisors (161225934048054).

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

137219713802946 is a wasteful number, since it uses less digits than its factorization.

137219713802946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946963 (or 2946960 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 137219713802946 in words is "one hundred thirty-seven trillion, two hundred nineteen billion, seven hundred thirteen million, eight hundred two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 269 538 807 1614 2421 4842 9649 19298 28947 57894 86841 173682 2595581 2937037 5191162 5874074 7786743 8811111 15573486 17622222 23360229 26433333 46720458 52866666 790062953 1580125906 2370188859 4740377718 7110566577 14221133154 28339470013 56678940026 85018410039 170036820078 255055230117 510110460234 7623317433497 15246634866994 22869952300491 45739904600982 68609856901473 137219713802946