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134625057264 = 2434148769857
BaseRepresentation
bin111110101100001000…
…1110101100111110000
3110212111020210111110000
41331120101311213300
54201203003313024
6141502414110000
712504064051215
oct1753021654760
9425436714400
10134625057264
1152104376105
12221117ab300
13c9061560c9
146731849b0c
15377de05cc9
hex1f584759f0

134625057264 has 100 divisors (see below), whose sum is σ = 389911588704. Its totient is φ = 44844198912.

The previous prime is 134625057253. The next prime is 134625057269. The reversal of 134625057264 is 462750526431.

134625057264 is a `hidden beast` number, since 1 + 346 + 250 + 57 + 2 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134625057269) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1892224 + ... + 1962080.

Almost surely, 2134625057264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134625057264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194955794352).

134625057264 is an abundant number, since it is smaller than the sum of its proper divisors (255286531440).

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

134625057264 is a wasteful number, since it uses less digits than its factorization.

134625057264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71364 (or 71349 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 134625057264 in words is "one hundred thirty-four billion, six hundred twenty-five million, fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1487 2974 4461 5948 8922 11896 13383 17844 23792 26766 35688 40149 53532 69857 71376 80298 107064 120447 139714 160596 209571 214128 240894 279428 321192 419142 481788 558856 628713 642384 838284 963576 1117712 1257426 1676568 1886139 1927152 2514852 3353136 3772278 5029704 5658417 7544556 10059408 11316834 15089112 22633668 30178224 45267336 90534672 103877359 207754718 311632077 415509436 623264154 831018872 934896231 1246528308 1662037744 1869792462 2493056616 2804688693 3739584924 4986113232 5609377386 7479169848 8414066079 11218754772 14958339696 16828132158 22437509544 33656264316 44875019088 67312528632 134625057264