Search a number
-
+
23706896832 = 263326951001
BaseRepresentation
bin10110000101000010…
…101000100111000000
32021012011201010202000
4112011002220213000
5342022431144312
614520225024000
71466323204203
oct260502504700
967164633660
1023706896832
11a065a1a523
124717485000
13230a674808
14120c73d93a
1593b3e5adc
hex5850a89c0

23706896832 has 112 divisors (see below), whose sum is σ = 69954343200. Its totient is φ = 7872768000.

The previous prime is 23706896819. The next prime is 23706896839. The reversal of 23706896832 is 23869860732.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23706896839) 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, 439332 + ... + 490332.

It is an arithmetic number, because the mean of its divisors is an integer number (624592350).

Almost surely, 223706896832 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 23706896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34977171600).

23706896832 is an abundant number, since it is smaller than the sum of its proper divisors (46247446368).

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

23706896832 is a wasteful number, since it uses less digits than its factorization.

23706896832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51291 (or 51275 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 23706896832 in words is "twenty-three billion, seven hundred six million, eight hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 269 288 432 538 576 807 864 1076 1614 1728 2152 2421 3228 4304 4842 6456 7263 8608 9684 12912 14526 17216 19368 25824 29052 38736 51001 51648 58104 77472 102002 116208 153003 154944 204004 232416 306006 408008 459009 464832 612012 816016 918018 1224024 1377027 1632032 1836036 2448048 2754054 3264064 3672072 4896096 5508108 7344144 9792192 11016216 13719269 14688288 22032432 27438538 29376576 41157807 44064864 54877076 82315614 88129728 109754152 123473421 164631228 219508304 246946842 329262456 370420263 439016608 493893684 658524912 740840526 878033216 987787368 1317049824 1481681052 1975574736 2634099648 2963362104 3951149472 5926724208 7902298944 11853448416 23706896832