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20004425040 = 24352915718307
BaseRepresentation
bin10010101000010110…
…110100110101010000
31220122010212002021010
4102220112310311100
5311432113100130
613105004130520
71305504543615
oct225026646520
956563762233
1020004425040
118535a81686
123a63536a40
131b6a596ac2
14d7ab1850c
157c13420b0
hex4a85b4d50

20004425040 has 160 divisors (see below), whose sum is σ = 64564260480. Its totient is φ = 5117478912.

The previous prime is 20004425017. The next prime is 20004425059. The reversal of 20004425040 is 4052440002.

It is a junction number, because it is equal to n+sod(n) for n = 20004424998 and 20004425016.

It is a congruent number.

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, 1083567 + ... + 1101873.

It is an arithmetic number, because the mean of its divisors is an integer number (403526628).

Almost surely, 220004425040 is an apocalyptic number.

20004425040 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 20004425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32282130240).

20004425040 is an abundant number, since it is smaller than the sum of its proper divisors (44559835440).

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

20004425040 is a wasteful number, since it uses less digits than its factorization.

20004425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18509 (or 18503 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 20004425040 its reverse (4052440002), we get a palindrome (24056865042).

The spelling of 20004425040 in words is "twenty billion, four million, four hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 157 174 232 240 290 314 348 435 464 471 580 628 696 785 870 942 1160 1256 1392 1570 1740 1884 2320 2355 2512 3140 3480 3768 4553 4710 6280 6960 7536 9106 9420 12560 13659 18212 18307 18840 22765 27318 36424 36614 37680 45530 54636 54921 68295 72848 73228 91060 91535 109272 109842 136590 146456 182120 183070 218544 219684 273180 274605 292912 364240 366140 439368 530903 546360 549210 732280 878736 1061806 1092720 1098420 1464560 1592709 2123612 2196840 2654515 2874199 3185418 4247224 4393680 5309030 5748398 6370836 7963545 8494448 8622597 10618060 11496796 12741672 14370995 15927090 17245194 21236120 22993592 25483344 28741990 31854180 34490388 42472240 43112985 45987184 57483980 63708360 68980776 83351771 86225970 114967960 127416720 137961552 166703542 172451940 229935920 250055313 333407084 344903880 416758855 500110626 666814168 689807760 833517710 1000221252 1250276565 1333628336 1667035420 2000442504 2500553130 3334070840 4000885008 5001106260 6668141680 10002212520 20004425040