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18830288620 = 22511213751797
BaseRepresentation
bin10001100010010111…
…110110011011101100
31210121022111202220001
4101202113312123230
5302031023213440
612352302234044
71234426545433
oct214227663354
953538452801
1018830288620
117a93230600
123796285924
131a11259920
14ca8bdc11a
15753214b9a
hex4625f66ec

18830288620 has 144 divisors (see below), whose sum is σ = 46929907584. Its totient is φ = 6304320000.

The previous prime is 18830288611. The next prime is 18830288621. The reversal of 18830288620 is 2688203881.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18830288621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23626062 + ... + 23626858.

It is an arithmetic number, because the mean of its divisors is an integer number (325902136).

Almost surely, 218830288620 is an apocalyptic number.

18830288620 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 18830288620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23464953792).

18830288620 is an abundant number, since it is smaller than the sum of its proper divisors (28099618964).

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

18830288620 is a wasteful number, since it uses less digits than its factorization.

18830288620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 18830288620 in words is "eighteen billion, eight hundred thirty million, two hundred eighty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 751 797 1210 1430 1502 1573 1594 2420 2860 3004 3146 3188 3755 3985 6292 7510 7865 7970 8261 8767 9763 10361 15020 15730 15940 16522 17534 19526 20722 31460 33044 35068 39052 41305 41444 43835 48815 51805 82610 87670 90871 96437 97630 103610 107393 113971 165220 175340 181742 192874 195260 207220 214786 227942 363484 385748 429572 454355 455884 482185 536965 569855 598547 908710 964370 1073930 1139710 1181323 1197094 1253681 1817420 1928740 2147860 2279420 2362646 2394188 2507362 2992735 4725292 5014724 5906615 5985470 6268405 6584017 7781111 11813230 11970940 12536810 13168034 15562222 23626460 25073620 26336068 31124444 32920085 38905555 65840170 72424187 77811110 85592221 131680340 144848374 155622220 171184442 289696748 342368884 362120935 427961105 724241870 855922210 941514431 1448483740 1711844420 1883028862 3766057724 4707572155 9415144310 18830288620