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28970609040 = 243454470773
BaseRepresentation
bin11010111110110010…
…000110100110010000
32202210000022102110000
4122332302012212100
5433312433442130
621150420410000
72043630054012
oct327662064620
982700272400
1028970609040
11113171763aa
125746246900
132969037219
14158b84a1b2
15b4858e260
hex6bec86990

28970609040 has 100 divisors (see below), whose sum is σ = 100619239644. Its totient is φ = 7725494016.

The previous prime is 28970609033. The next prime is 28970609069. The reversal of 28970609040 is 4090607982.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20047161744 + 8923447296 = 141588^2 + 94464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2228907 + ... + 2241866.

Almost surely, 228970609040 is an apocalyptic number.

28970609040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28970609040 is an abundant number, since it is smaller than the sum of its proper divisors (71648630604).

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

28970609040 is a wasteful number, since it uses less digits than its factorization.

28970609040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470798 (or 4470783 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 28970609040 in words is "twenty-eight billion, nine hundred seventy million, six hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 4470773 8941546 13412319 17883092 22353865 26824638 35766184 40236957 44707730 53649276 67061595 71532368 80473914 89415460 107298552 120710871 134123190 160947828 178830920 201184785 214597104 241421742 268246380 321895656 357661840 362132613 402369570 482843484 536492760 603554355 643791312 724265226 804739140 965686968 1072985520 1207108710 1448530452 1609478280 1810663065 1931373936 2414217420 2897060904 3218956560 3621326130 4828434840 5794121808 7242652260 9656869680 14485304520 28970609040