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152965221656 = 23139780918743
BaseRepresentation
bin1000111001110101110…
…0000000110100011000
3112121211102001101021212
42032131130000310120
510001233044043111
6154134331322252
714023422634232
oct2163534006430
9477742041255
10152965221656
1159965975065
122578b8b0388
13115699a7aa0
147591503252
153ea40a398b
hex239d700d18

152965221656 has 64 divisors (see below), whose sum is σ = 312458731200. Its totient is φ = 69781413888.

The previous prime is 152965221589. The next prime is 152965221683. The reversal of 152965221656 is 656122569251.

It is a super-2 number, since 2×1529652216562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8151821 + ... + 8170563.

It is an arithmetic number, because the mean of its divisors is an integer number (4882167675).

Almost surely, 2152965221656 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 152965221656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156229365600).

152965221656 is an abundant number, since it is smaller than the sum of its proper divisors (159493509544).

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

152965221656 is a wasteful number, since it uses less digits than its factorization.

152965221656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19668 (or 19664 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 50.

The spelling of 152965221656 in words is "one hundred fifty-two billion, nine hundred sixty-five million, two hundred twenty-one thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 809 1261 1618 2522 3236 5044 6472 10088 10517 18743 21034 37486 42068 74972 78473 84136 149944 156946 243659 313892 487318 627784 974636 1020149 1818071 1949272 2040298 3636142 4080596 7272284 8161192 14544568 15163087 23634923 30326174 47269846 60652348 94539692 121304696 189079384 197120131 394240262 788480524 1470819439 1576961048 2941638878 5883277756 11766555512 19120652707 38241305414 76482610828 152965221656