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42556254360 = 233517181111519
BaseRepresentation
bin100111101000100011…
…001110100010011000
311001211211002201020220
4213220203032202120
51144123400114420
631314452120040
73034404123264
oct475043164230
9131754081226
1042556254360
1117058994854
1282b8006020
134022849ac9
1420b9ca30a4
151191125840
hex9e88ce898

42556254360 has 128 divisors (see below), whose sum is σ = 135265075200. Its totient is φ = 10673960960.

The previous prime is 42556254281. The next prime is 42556254407. The reversal of 42556254360 is 6345265524.

It is a super-2 number, since 2×425562543602 (a number of 22 digits) contains 22 as substring.

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, 3688681 + ... + 3700199.

It is an arithmetic number, because the mean of its divisors is an integer number (1056758400).

Almost surely, 242556254360 is an apocalyptic number.

42556254360 is a gapful number since it is divisible by the number (40) 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 42556254360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67632537600).

42556254360 is an abundant number, since it is smaller than the sum of its proper divisors (92708820840).

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

42556254360 is a wasteful number, since it uses less digits than its factorization.

42556254360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13361 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 42556254360 in words is "forty-two billion, five hundred fifty-six million, two hundred fifty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1811 2040 3622 5433 7244 9055 10866 11519 14488 18110 21732 23038 27165 30787 34557 36220 43464 46076 54330 57595 61574 69114 72440 92152 92361 108660 115190 123148 138228 153935 172785 184722 195823 217320 230380 246296 276456 307870 345570 369444 391646 460760 461805 587469 615740 691140 738888 783292 923610 979115 1174938 1231480 1382280 1566584 1847220 1958230 2349876 2937345 3694440 3916460 4699752 5874690 7832920 11749380 20860909 23498760 41721818 62582727 83443636 104304545 125165454 166887272 208609090 250330908 312913635 354635453 417218180 500661816 625827270 709270906 834436360 1063906359 1251654540 1418541812 1773177265 2127812718 2503309080 2837083624 3546354530 4255625436 5319531795 7092709060 8511250872 10639063590 14185418120 21278127180 42556254360