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12622698240 = 28353319931
BaseRepresentation
bin10111100000101111…
…10001011100000000
31012120200211111202020
423300113301130000
5201322402320430
65444312121440
7624542110335
oct136027613400
935520744666
1012622698240
115398203019
122543396280
131262179a19
1487a5d298c
154dd273b10
hex2f05f1700

12622698240 has 144 divisors (see below), whose sum is σ = 40439607936. Its totient is φ = 3355545600.

The previous prime is 12622698233. The next prime is 12622698247. The reversal of 12622698240 is 4289622621.

It is an interprime number because it is at equal distance from previous prime (12622698233) and next prime (12622698247).

It is a junction number, because it is equal to n+sod(n) for n = 12622698192 and 12622698201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12622698247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266075 + ... + 1276005.

Almost surely, 212622698240 is an apocalyptic number.

12622698240 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 12622698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20219803968).

12622698240 is an abundant number, since it is smaller than the sum of its proper divisors (27816909696).

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

12622698240 is an equidigital number, since it uses as much as digits as its factorization.

12622698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10286 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 12622698240 in words is "twelve billion, six hundred twenty-two million, six hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 331 384 480 640 662 768 960 993 1280 1324 1655 1920 1986 2648 3310 3840 3972 4965 5296 6620 7944 9930 9931 10592 13240 15888 19860 19862 21184 26480 29793 31776 39720 39724 42368 49655 52960 59586 63552 79440 79448 84736 99310 105920 119172 127104 148965 158880 158896 198620 211840 238344 254208 297930 317760 317792 397240 423680 476688 595860 635520 635584 794480 953376 1191720 1271040 1271168 1588960 1906752 2383440 2542336 3177920 3287161 3813504 4766880 6355840 6574322 7627008 9533760 9861483 12711680 13148644 16435805 19067520 19722966 26297288 32871610 38135040 39445932 49307415 52594576 65743220 78891864 98614830 105189152 131486440 157783728 197229660 210378304 262972880 315567456 394459320 420756608 525945760 631134912 788918640 841513216 1051891520 1262269824 1577837280 2103783040 2524539648 3155674560 4207566080 6311349120 12622698240