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14873934080 = 285411392039
BaseRepresentation
bin11011101101000111…
…00011100100000000
31102101120221010202102
431312203203210000
5220430211342310
610455532005532
71034406232205
oct156643434400
942346833672
1014873934080
116342a47905
122a713008a8
1315306aa135
14a115a9cac
155c0c118a5
hex3768e3900

14873934080 has 144 divisors (see below), whose sum is σ = 36777283200. Its totient is φ = 5759877120.

The previous prime is 14873934079. The next prime is 14873934107. The reversal of 14873934080 is 8043937841.

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, 7293701 + ... + 7295739.

It is an arithmetic number, because the mean of its divisors is an integer number (255397800).

Almost surely, 214873934080 is an apocalyptic number.

14873934080 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 14873934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388641600).

14873934080 is an abundant number, since it is smaller than the sum of its proper divisors (21903349120).

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

14873934080 is a wasteful number, since it uses less digits than its factorization.

14873934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 14873934080 in words is "fourteen billion, eight hundred seventy-three million, nine hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 139 160 164 205 256 278 320 328 410 556 640 656 695 820 1112 1280 1312 1390 1640 2039 2224 2624 2780 3280 4078 4448 5248 5560 5699 6560 8156 8896 10195 10496 11120 11398 13120 16312 17792 20390 22240 22796 26240 28495 32624 35584 40780 44480 45592 52480 56990 65248 81560 83599 88960 91184 113980 130496 163120 167198 177920 182368 227960 260992 283421 326240 334396 364736 417995 455920 521984 566842 652480 668792 729472 835990 911840 1133684 1304960 1337584 1417105 1458944 1671980 1823680 2267368 2609920 2675168 2834210 3343960 3647360 4534736 5350336 5668420 6687920 7294720 9069472 10700672 11336840 11620261 13375840 18138944 21401344 22673680 23240522 26751680 36277888 45347360 46481044 53503360 58101305 72555776 90694720 92962088 107006720 116202610 181389440 185924176 232405220 362778880 371848352 464810440 743696704 929620880 1487393408 1859241760 2974786816 3718483520 7436967040 14873934080