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8201470420 = 225111313272161
BaseRepresentation
bin1111010001101100…
…01000000111010100
3210011120111212100201
413220312020013110
5113244034023140
63433453550244
7410145230323
oct75066100724
923146455321
108201470420
113529575130
12170a7a5384
13a091c37a0
1457b3500ba
1533004549a
hex1e8d881d4

8201470420 has 96 divisors (see below), whose sum is σ = 20258735616. Its totient is φ = 2749593600.

The previous prime is 8201470411. The next prime is 8201470427. The reversal of 8201470420 is 240741028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201470427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3794140 + ... + 3796300.

It is an arithmetic number, because the mean of its divisors is an integer number (211028496).

Almost surely, 28201470420 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 8201470420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10129367808).

8201470420 is an abundant number, since it is smaller than the sum of its proper divisors (12057265196).

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

8201470420 is a wasteful number, since it uses less digits than its factorization.

8201470420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 8201470420 is about 90561.9700536599. The cubic root of 8201470420 is about 2016.6502023867.

The spelling of 8201470420 in words is "eight billion, two hundred one million, four hundred seventy thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1327 1430 2161 2654 2860 4322 5308 6635 8644 10805 13270 14597 17251 21610 23771 26540 28093 29194 34502 43220 47542 56186 58388 69004 72985 86255 95084 112372 118855 140465 145970 172510 189761 237710 280930 291940 309023 345020 379522 475420 561860 618046 759044 948805 1236092 1545115 1897610 2867647 3090230 3795220 5735294 6180460 11470588 14338235 28676470 31544117 37279411 57352940 63088234 74558822 126176468 149117644 157720585 186397055 315441170 372794110 410073521 630882340 745588220 820147042 1640294084 2050367605 4100735210 8201470420