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14746673920 = 285113493001
BaseRepresentation
bin11011011101111100…
…00110001100000000
31102001201110122122011
431232332012030000
5220200122031140
610435144222304
71031302442266
oct155676061400
942051418564
1014746673920
116288127420
122a3676a994
131510210774
149dc720436
155b4974cea
hex36ef86300

14746673920 has 144 divisors (see below), whose sum is σ = 38657354400. Its totient is φ = 5345280000.

The previous prime is 14746673897. The next prime is 14746673957. The reversal of 14746673920 is 2937664741.

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, 4912420 + ... + 4915420.

It is an arithmetic number, because the mean of its divisors is an integer number (268453850).

Almost surely, 214746673920 is an apocalyptic number.

14746673920 is a gapful number since it is divisible by the number (10) 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 14746673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19328677200).

14746673920 is an abundant number, since it is smaller than the sum of its proper divisors (23910680480).

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

14746673920 is a wasteful number, since it uses less digits than its factorization.

14746673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 14746673920 in words is "fourteen billion, seven hundred forty-six million, six hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 349 352 440 640 698 704 880 1280 1396 1408 1745 1760 2792 2816 3001 3490 3520 3839 5584 6002 6980 7040 7678 11168 12004 13960 14080 15005 15356 19195 22336 24008 27920 30010 30712 33011 38390 44672 48016 55840 60020 61424 66022 76780 89344 96032 111680 120040 122848 132044 153560 165055 192064 223360 240080 245696 264088 307120 330110 384128 446720 480160 491392 528176 614240 660220 768256 960320 982784 1047349 1056352 1228480 1320440 1920640 2094698 2112704 2456960 2640880 3841280 4189396 4225408 4913920 5236745 5281760 8378792 8450816 10473490 10563520 11520839 16757584 20946980 21127040 23041678 33515168 41893960 42254080 46083356 57604195 67030336 83787920 92166712 115208390 134060672 167575840 184333424 230416780 268121344 335151680 368666848 460833560 670303360 737333696 921667120 1340606720 1474667392 1843334240 2949334784 3686668480 7373336960 14746673920