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23989501152 = 2532376733601
BaseRepresentation
bin10110010101111000…
…101011110011100000
32021220212110220222200
4112111320223303200
5343112303014102
615004242133200
71506324252411
oct262570536340
967825426880
1023989501152
11a1a04a2311
124796051200
1323540916c6
1412380a5808
1595611a51c
hex595e2bce0

23989501152 has 144 divisors (see below), whose sum is σ = 71111778192. Its totient is φ = 7664025600.

The previous prime is 23989501139. The next prime is 23989501169. The reversal of 23989501152 is 25110598932.

23989501152 is a `hidden beast` number, since 2 + 3 + 98 + 9 + 501 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 23989501098 and 23989501107.

It is a congruent number.

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, 697152 + ... + 730752.

It is an arithmetic number, because the mean of its divisors is an integer number (493831793).

Almost surely, 223989501152 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 23989501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35555889096).

23989501152 is an abundant number, since it is smaller than the sum of its proper divisors (47122277040).

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

23989501152 is a wasteful number, since it uses less digits than its factorization.

23989501152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33721 (or 33710 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 23989501152 in words is "twenty-three billion, nine hundred eighty-nine million, five hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 67 72 74 96 111 134 144 148 201 222 268 288 296 333 402 444 536 592 603 666 804 888 1072 1184 1206 1332 1608 1776 2144 2412 2479 2664 3216 3552 4824 4958 5328 6432 7437 9648 9916 10656 14874 19296 19832 22311 29748 33601 39664 44622 59496 67202 79328 89244 100803 118992 134404 178488 201606 237984 268808 302409 356976 403212 537616 604818 713952 806424 1075232 1209636 1243237 1612848 2251267 2419272 2486474 3225696 3729711 4502534 4838544 4972948 6753801 7459422 9005068 9677088 9945896 11189133 13507602 14918844 18010136 19891792 20261403 22378266 27015204 29837688 36020272 39783584 40522806 44756532 54030408 59675376 72040544 81045612 83296879 89513064 108060816 119350752 162091224 166593758 179026128 216121632 249890637 324182448 333187516 358052256 499781274 648364896 666375032 749671911 999562548 1332750064 1499343822 1999125096 2665500128 2998687644 3998250192 5997375288 7996500384 11994750576 23989501152