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23064960320 = 2651918120959
BaseRepresentation
bin10101011110110001…
…110101110101000000
32012112102210101101122
4111132301311311000
5334214112212240
614332414051412
71444366633163
oct253661656500
965472711348
1023064960320
119866629086
1245784a9b68
132237684b1c
14118b39bada
158eed924b5
hex55ec75d40

23064960320 has 112 divisors (see below), whose sum is σ = 58136332800. Its totient is φ = 8691701760.

The previous prime is 23064960319. The next prime is 23064960337. The reversal of 23064960320 is 2306946032.

It is a congruent number.

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, 1090001 + ... + 1110959.

It is an arithmetic number, because the mean of its divisors is an integer number (519074400).

Almost surely, 223064960320 is an apocalyptic number.

23064960320 is a gapful number since it is divisible by the number (20) 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 23064960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29068166400).

23064960320 is an abundant number, since it is smaller than the sum of its proper divisors (35071372480).

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

23064960320 is a wasteful number, since it uses less digits than its factorization.

23064960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21176 (or 21166 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 23064960320 in words is "twenty-three billion, sixty-four million, nine hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 181 190 304 320 362 380 608 724 760 905 1216 1448 1520 1810 2896 3040 3439 3620 5792 6080 6878 7240 11584 13756 14480 17195 20959 27512 28960 34390 41918 55024 57920 68780 83836 104795 110048 137560 167672 209590 220096 275120 335344 398221 419180 550240 670688 796442 838360 1100480 1341376 1592884 1676720 1991105 3185768 3353440 3793579 3982210 6371536 6706880 7587158 7964420 12743072 15174316 15928840 18967895 25486144 30348632 31857680 37935790 60697264 63715360 72078001 75871580 121394528 127430720 144156002 151743160 242789056 288312004 303486320 360390005 576624008 606972640 720780010 1153248016 1213945280 1441560020 2306496032 2883120040 4612992064 5766240080 11532480160 23064960320