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18613430784 = 293213310721
BaseRepresentation
bin10001010101011100…
…100110101000000000
31210001012110020212100
4101111130212220000
5301110014241114
612314554230400
71226154360024
oct212534465000
953035406770
1018613430784
117991884053
123735725400
1319a834c490
14c880ac384
1573e17a909
hex455726a00

18613430784 has 120 divisors (see below), whose sum is σ = 57852086292. Its totient is φ = 5727191040.

The previous prime is 18613430761. The next prime is 18613430791. The reversal of 18613430784 is 48703431681.

It can be written as a sum of positive squares in 2 ways, for example, as 17563670784 + 1049760000 = 132528^2 + 32400^2 .

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 11 ways as a sum of consecutive naturals, for example, 95457 + ... + 215264.

Almost surely, 218613430784 is an apocalyptic number.

It is an amenable number.

18613430784 is an abundant number, since it is smaller than the sum of its proper divisors (39238655508).

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

18613430784 is a wasteful number, since it uses less digits than its factorization.

18613430784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310758 (or 310739 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 18613430784 in words is "eighteen billion, six hundred thirteen million, four hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 310721 621442 932163 1242884 1864326 2485768 2796489 3728652 4039373 4971536 5592978 7457304 8078746 9943072 11185956 12118119 14914608 16157492 19886144 22371912 24236238 29829216 32314984 36354357 39772288 44743824 48472476 59658432 64629968 72708714 79544576 89487648 96944952 119316864 129259936 145417428 159089152 178975296 193889904 238633728 258519872 290834856 357950592 387779808 477267456 517039744 581669712 715901184 775559616 1034079488 1163339424 1431802368 1551119232 2068158976 2326678848 3102238464 4653357696 6204476928 9306715392 18613430784