Search a number
-
+
23636506656 = 2537167210619
BaseRepresentation
bin10110000000110110…
…000111100000100000
32021000021020221120110
4112000312013200200
5341401421203111
614505232211320
71464506664060
oct260066074040
967007227513
1023636506656
11a02a212324
1246b7999b40
1322c8bca519
1412032593a0
1593513e5a6
hex580d87820

23636506656 has 96 divisors (see below), whose sum is σ = 71334466560. Its totient is φ = 6712816896.

The previous prime is 23636506633. The next prime is 23636506661. The reversal of 23636506656 is 65660563632.

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

It is a super-4 number, since 4×236365066564 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6915 + ... + 217533.

It is an arithmetic number, because the mean of its divisors is an integer number (743067360).

Almost surely, 223636506656 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 23636506656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35667233280).

23636506656 is an abundant number, since it is smaller than the sum of its proper divisors (47697959904).

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

23636506656 is a wasteful number, since it uses less digits than its factorization.

23636506656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210806 (or 210798 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 48.

The spelling of 23636506656 in words is "twenty-three billion, six hundred thirty-six million, five hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 167 168 224 334 336 501 668 672 1002 1169 1336 2004 2338 2672 3507 4008 4676 5344 7014 8016 9352 14028 16032 18704 28056 37408 56112 112224 210619 421238 631857 842476 1263714 1474333 1684952 2527428 2948666 3369904 4422999 5054856 5897332 6739808 8845998 10109712 11794664 17691996 20219424 23589328 35173373 35383992 47178656 70346746 70767984 105520119 140693492 141535968 211040238 246213611 281386984 422080476 492427222 562773968 738640833 844160952 984854444 1125547936 1477281666 1688321904 1969708888 2954563332 3376643808 3939417776 5909126664 7878835552 11818253328 23636506656