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20107244040 = 23351367192377
BaseRepresentation
bin10010101110011111…
…000011001000001000
31220220022022211102020
4102232133003020020
5312134423302130
613123120004440
71311163516512
oct225637031010
956808284366
1020107244040
118589019064
123a91a60720
131b85986750
14d8a640bb2
157ca3a1e10
hex4ae7c3208

20107244040 has 128 divisors (see below), whose sum is σ = 65931788160. Its totient is φ = 4875577344.

The previous prime is 20107244033. The next prime is 20107244051. The reversal of 20107244040 is 4044270102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20107244040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8332 + ... + 200708.

It is an arithmetic number, because the mean of its divisors is an integer number (515092095).

Almost surely, 220107244040 is an apocalyptic number.

20107244040 is a gapful number since it is divisible by the number (20) 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 20107244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965894080).

20107244040 is an abundant number, since it is smaller than the sum of its proper divisors (45824544120).

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

20107244040 is a wasteful number, since it uses less digits than its factorization.

20107244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192471 (or 192467 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The spelling of 20107244040 in words is "twenty billion, one hundred seven million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 67 78 104 120 130 134 156 195 201 260 268 312 335 390 402 520 536 670 780 804 871 1005 1340 1560 1608 1742 2010 2613 2680 3484 4020 4355 5226 6968 8040 8710 10452 13065 17420 20904 26130 34840 52260 104520 192377 384754 577131 769508 961885 1154262 1539016 1923770 2308524 2500901 2885655 3847540 4617048 5001802 5771310 7502703 7695080 10003604 11542620 12504505 12889259 15005406 20007208 23085240 25009010 25778518 30010812 37513515 38667777 50018020 51557036 60021624 64446295 75027030 77335554 100036040 103114072 128892590 150054060 154671108 167560367 193338885 257785180 300108120 309342216 335120734 386677770 502681101 515570360 670241468 773355540 837801835 1005362202 1340482936 1546711080 1675603670 2010724404 2513405505 3351207340 4021448808 5026811010 6702414680 10053622020 20107244040