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18733264928 = 2571910334261
BaseRepresentation
bin10001011100100101…
…101111000000100000
31210100112221110101222
4101130211233000200
5301331203434203
612334514514212
71232141060510
oct213445570040
953315843358
1018733264928
117a43492234
123769895968
1319c7118a61
14c99d83840
1574994c038
hex45c96f020

18733264928 has 96 divisors (see below), whose sum is σ = 44421632640. Its totient is φ = 7596840960.

The previous prime is 18733264897. The next prime is 18733264951. The reversal of 18733264928 is 82946233781.

It is a self number, because there is not a number n which added to its sum of digits gives 18733264928.

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, 4394318 + ... + 4398578.

It is an arithmetic number, because the mean of its divisors is an integer number (462725340).

Almost surely, 218733264928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18733264928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22210816320).

18733264928 is an abundant number, since it is smaller than the sum of its proper divisors (25688367712).

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

18733264928 is a wasteful number, since it uses less digits than its factorization.

18733264928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 5322 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 53.

The spelling of 18733264928 in words is "eighteen billion, seven hundred thirty-three million, two hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1033 1064 2066 2128 4132 4256 4261 7231 8264 8522 14462 16528 17044 19627 28924 29827 33056 34088 39254 57848 59654 68176 78508 80959 115696 119308 136352 137389 157016 161918 231392 238616 274778 314032 323836 477232 549556 566713 628064 647672 954464 1099112 1133426 1295344 2198224 2266852 2590688 4396448 4401613 4533704 8803226 9067408 17606452 18134816 30811291 35212904 61622582 70425808 83630647 123245164 140851616 167261294 246490328 334522588 492980656 585414529 669045176 985961312 1170829058 1338090352 2341658116 2676180704 4683316232 9366632464 18733264928