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23207017632 = 2533161127837
BaseRepresentation
bin10101100111001111…
…101111110010100000
32012220100002122101120
4111213033233302200
5340011444031012
614354450532240
71451043252351
oct254717576240
965810078346
1023207017632
119929835917
1245b7b97080
13225ac326c6
1411a21b9d28
1590c5a358c
hex5673efca0

23207017632 has 96 divisors (see below), whose sum is σ = 63914909184. Its totient is φ = 7363353600.

The previous prime is 23207017591. The next prime is 23207017637. The reversal of 23207017632 is 23671070232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 23207017593 and 23207017602.

It is not an unprimeable number, because it can be changed into a prime (23207017637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117618 + ... + 245454.

It is an arithmetic number, because the mean of its divisors is an integer number (665780304).

Almost surely, 223207017632 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 23207017632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31957454592).

23207017632 is an abundant number, since it is smaller than the sum of its proper divisors (40707891552).

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

23207017632 is a wasteful number, since it uses less digits than its factorization.

23207017632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127942 (or 127934 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

Adding to 23207017632 its reverse (23671070232), we get a palindrome (46878087864).

The spelling of 23207017632 in words is "twenty-three billion, two hundred seven million, seventeen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 183 186 244 248 366 372 488 496 732 744 976 992 1464 1488 1891 1952 2928 2976 3782 5673 5856 7564 11346 15128 22692 30256 45384 60512 90768 127837 181536 255674 383511 511348 767022 1022696 1534044 2045392 3068088 3962947 4090784 6136176 7798057 7925894 11888841 12272352 15596114 15851788 23394171 23777682 31192228 31703576 46788342 47555364 62384456 63407152 93576684 95110728 124768912 126814304 187153368 190221456 241739767 249537824 374306736 380442912 483479534 725219301 748613472 966959068 1450438602 1933918136 2900877204 3867836272 5801754408 7735672544 11603508816 23207017632