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14919672200 = 2352235954973
BaseRepresentation
bin11011110010100100…
…00010000110001000
31102111202222212122212
431321102002012020
5221023414002300
610504244204252
71035503056406
oct157122020610
942452885585
1014919672200
116366847604
122a84699688
13153a002704
14a176b4476
155c4c48935
hex379482188

14919672200 has 96 divisors (see below), whose sum is σ = 36810590400. Its totient is φ = 5611541760.

The previous prime is 14919672179. The next prime is 14919672241. The reversal of 14919672200 is 227691941.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243914 + ... + 298886.

It is an arithmetic number, because the mean of its divisors is an integer number (383443650).

Almost surely, 214919672200 is an apocalyptic number.

14919672200 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 14919672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18405295200).

14919672200 is an abundant number, since it is smaller than the sum of its proper divisors (21890918200).

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

14919672200 is a wasteful number, since it uses less digits than its factorization.

14919672200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55071 (or 55062 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 14919672200 in words is "fourteen billion, nine hundred nineteen million, six hundred seventy-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 59 92 100 115 118 184 200 230 236 295 460 472 575 590 920 1150 1180 1357 1475 2300 2360 2714 2950 4600 5428 5900 6785 10856 11800 13570 27140 33925 54280 54973 67850 109946 135700 219892 271400 274865 439784 549730 1099460 1264379 1374325 2198920 2528758 2748650 3243407 5057516 5497300 6321895 6486814 10115032 10994600 12643790 12973628 16217035 25287580 25947256 31609475 32434070 50575160 63218950 64868140 74598361 81085175 126437900 129736280 149196722 162170350 252875800 298393444 324340700 372991805 596786888 648681400 745983610 1491967220 1864959025 2983934440 3729918050 7459836100 14919672200