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23462939232 = 2532175478761
BaseRepresentation
bin10101110110100000…
…000000101001100000
32020120011122210211100
4111312200000221200
5341023003023412
614440112114400
71460301456435
oct256640005140
966504583740
1023462939232
119a50243577
124669835a00
13229bc694c5
1411c8197b8c
15924ca6edc
hex576800a60

23462939232 has 144 divisors (see below), whose sum is σ = 70784833392. Its totient is φ = 7346626560.

The previous prime is 23462939221. The next prime is 23462939233. The reversal of 23462939232 is 23293926432.

23462939232 is a `hidden beast` number, since 234 + 6 + 29 + 392 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23462939233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2673732 + ... + 2682492.

It is an arithmetic number, because the mean of its divisors is an integer number (491561343).

Almost surely, 223462939232 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 23462939232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35392416696).

23462939232 is an abundant number, since it is smaller than the sum of its proper divisors (47321894160).

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

23462939232 is a wasteful number, since it uses less digits than its factorization.

23462939232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341 (or 9330 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The spelling of 23462939232 in words is "twenty-three billion, four hundred sixty-two million, nine hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 547 612 816 1094 1224 1632 1641 2188 2448 3282 4376 4896 4923 6564 8752 8761 9299 9846 13128 17504 17522 18598 19692 26256 26283 27897 35044 37196 39384 52512 52566 55794 70088 74392 78768 78849 83691 105132 111588 140176 148784 148937 157536 157698 167382 210264 223176 280352 297568 297874 315396 334764 420528 446352 446811 595748 630792 669528 841056 892704 893622 1191496 1261584 1339056 1340433 1787244 2382992 2523168 2678112 2680866 3574488 4765984 4792267 5361732 7148976 9584534 10723464 14297952 14376801 19169068 21446928 28753602 38338136 42893856 43130403 57507204 76676272 81468539 86260806 115014408 153352544 162937078 172521612 230028816 244405617 325874156 345043224 460057632 488811234 651748312 690086448 733216851 977622468 1303496624 1380172896 1466433702 1955244936 2606993248 2932867404 3910489872 5865734808 7820979744 11731469616 23462939232