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153453392964 = 223211337722073
BaseRepresentation
bin1000111011101010001…
…0001111010001000100
3112200002102122001102200
42032322202033101010
510003233032033324
6154255010434500
714041501214214
oct2167242172104
9480072561380
10153453392964
115a096492423
12258a7292a30
1311616b7ab51
1475da29a244
153ed1d81ec9
hex23ba88f444

153453392964 has 36 divisors (see below), whose sum is σ = 391328795676. Its totient is φ = 50698464768.

The previous prime is 153453392957. The next prime is 153453392969. The reversal of 153453392964 is 469293354351.

153453392964 is a `hidden beast` number, since 1 + 5 + 345 + 3 + 3 + 9 + 296 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16991122500 + 136462270464 = 130350^2 + 369408^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 153453392964.

It is not an unprimeable number, because it can be changed into a prime (153453392969) 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 11 ways as a sum of consecutive naturals, for example, 18856969 + ... + 18865104.

Almost surely, 2153453392964 is an apocalyptic number.

It is an amenable number.

153453392964 is an abundant number, since it is smaller than the sum of its proper divisors (237875402712).

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

153453392964 is a wasteful number, since it uses less digits than its factorization.

153453392964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37722196 (or 37722191 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 153453392964 in words is "one hundred fifty-three billion, four hundred fifty-three million, three hundred ninety-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 37722073 75444146 113166219 150888292 226332438 339498657 452664876 678997314 1357994628 4262594249 8525188498 12787782747 17050376996 25575565494 38363348241 51151130988 76726696482 153453392964