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18793992480 = 2535208318797
BaseRepresentation
bin10001100000001101…
…011001000100100000
31210111210012201221120
4101200031121010200
5301442230224410
612344524252240
71233506204664
oct214015310440
953453181846
1018793992480
117a7479a79a
1237860a1080
131a0688bc13
14ca40708a4
1574ee45570
hex460359120

18793992480 has 96 divisors (see below), whose sum is σ = 59232648384. Its totient is φ = 5009058816.

The previous prime is 18793992479. The next prime is 18793992493. The reversal of 18793992480 is 8429939781.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990442 + ... + 1009238.

It is an arithmetic number, because the mean of its divisors is an integer number (617006754).

Almost surely, 218793992480 is an apocalyptic number.

18793992480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18793992480 is an abundant number, since it is smaller than the sum of its proper divisors (40438655904).

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

18793992480 is a wasteful number, since it uses less digits than its factorization.

18793992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20898 (or 20890 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 18793992480 in words is "eighteen billion, seven hundred ninety-three million, nine hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2083 4166 6249 8332 10415 12498 16664 18797 20830 24996 31245 33328 37594 41660 49992 56391 62490 66656 75188 83320 93985 99984 112782 124980 150376 166640 187970 199968 225564 249960 281955 300752 333280 375940 451128 499920 563910 601504 751880 902256 999840 1127820 1503760 1804512 2255640 3007520 4511280 9022560 39154151 78308302 117462453 156616604 195770755 234924906 313233208 391541510 469849812 587312265 626466416 783083020 939699624 1174624530 1252932832 1566166040 1879399248 2349249060 3132332080 3758798496 4698498120 6264664160 9396996240 18793992480