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18045813096 = 2334431514289
BaseRepresentation
bin10000110011100111…
…010100000101101000
31201120122101021210000
4100303213110011220
5243424212004341
612142400223000
71206122610663
oct206347240550
951518337700
1018045813096
117720433523
1235b760aa60
13191788101c
14c329546da
157094078b6
hex4339d4168

18045813096 has 160 divisors (see below), whose sum is σ = 52075108800. Its totient is φ = 5835110400.

The previous prime is 18045813073. The next prime is 18045813109. The reversal of 18045813096 is 69031854081.

18045813096 is a `hidden beast` number, since 1 + 80 + 458 + 1 + 30 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4205320 + ... + 4209608.

It is an arithmetic number, because the mean of its divisors is an integer number (325469430).

Almost surely, 218045813096 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 18045813096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26037554400).

18045813096 is an abundant number, since it is smaller than the sum of its proper divisors (34029295704).

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

18045813096 is a wasteful number, since it uses less digits than its factorization.

18045813096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18045813096 in words is "eighteen billion, forty-five million, eight hundred thirteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 151 162 172 216 258 302 324 344 387 453 516 604 648 774 906 1032 1161 1208 1359 1548 1812 2322 2718 3096 3483 3624 4077 4289 4644 5436 6493 6966 8154 8578 9288 10872 12231 12867 12986 13932 16308 17156 19479 24462 25734 25972 27864 32616 34312 38601 38958 48924 51468 51944 58437 77202 77916 97848 102936 115803 116874 154404 155832 175311 184427 231606 233748 308808 347409 350622 368854 463212 467496 525933 553281 647639 694818 701244 737708 926424 1051866 1106562 1295278 1389636 1402488 1475416 1659843 1942917 2103732 2213124 2590556 2779272 3319686 3885834 4207464 4426248 4979529 5181112 5828751 6639372 7771668 9959058 11657502 13278744 14938587 15543336 17486253 19918116 23315004 27848477 29877174 34972506 39836232 46630008 52458759 55696954 59754348 69945012 83545431 104917518 111393908 119508696 139890024 167090862 209835036 222787816 250636293 334181724 419670072 501272586 668363448 751908879 1002545172 1503817758 2005090344 2255726637 3007635516 4511453274 6015271032 9022906548 18045813096