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23979896064 = 283216762323
BaseRepresentation
bin10110010101010100…
…000010110100000000
32021220012101221021200
4112111110002310000
5343102323133224
615003300221200
71506146516265
oct262524026400
967805357250
1023979896064
11a196031923
12479299a800
1323520aa817
141236ac526c
1595536e5c9
hex595502d00

23979896064 has 108 divisors (see below), whose sum is σ = 69555079776. Its totient is φ = 7945307136.

The previous prime is 23979896047. The next prime is 23979896077. The reversal of 23979896064 is 46069897932.

It is a junction number, because it is equal to n+sod(n) for n = 23979895992 and 23979896010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353607 + ... + 415929.

Almost surely, 223979896064 is an apocalyptic number.

23979896064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23979896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34777539888).

23979896064 is an abundant number, since it is smaller than the sum of its proper divisors (45575183712).

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

23979896064 is a wasteful number, since it uses less digits than its factorization.

23979896064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62512 (or 62495 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 23979896064 in words is "twenty-three billion, nine hundred seventy-nine million, eight hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 501 576 668 768 1002 1152 1336 1503 2004 2304 2672 3006 4008 5344 6012 8016 10688 12024 16032 21376 24048 32064 42752 48096 62323 64128 96192 124646 128256 186969 192384 249292 373938 384768 498584 560907 747876 997168 1121814 1495752 1994336 2243628 2991504 3988672 4487256 5983008 7977344 8974512 10407941 11966016 15954688 17949024 20815882 23932032 31223823 35898048 41631764 47864064 62447646 71796096 83263528 93671469 124895292 143592192 166527056 187342938 249790584 333054112 374685876 499581168 666108224 749371752 999162336 1332216448 1498743504 1998324672 2664432896 2997487008 3996649344 5994974016 7993298688 11989948032 23979896064