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42651554360 = 23547179126743
BaseRepresentation
bin100111101110001110…
…110001001000111000
311002002110102110021112
4213232032301020320
51144322244214420
631332134455452
73036642141662
oct475616611070
9132073373245
1042651554360
11170a7766088
128323b04588
13403950623c
1420c87cd532
15119969c8c5
hex9ee3b1238

42651554360 has 64 divisors (see below), whose sum is σ = 98556134400. Its totient is φ = 16604215936.

The previous prime is 42651554357. The next prime is 42651554389. The reversal of 42651554360 is 6345515624.

It is a happy number.

42651554360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273149 + ... + 399891.

It is an arithmetic number, because the mean of its divisors is an integer number (1539939600).

Almost surely, 242651554360 is an apocalyptic number.

42651554360 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 42651554360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49278067200).

42651554360 is an abundant number, since it is smaller than the sum of its proper divisors (55904580040).

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

42651554360 is a wasteful number, since it uses less digits than its factorization.

42651554360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126980 (or 126976 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 42651554360 in words is "forty-two billion, six hundred fifty-one million, five hundred fifty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 179 188 235 358 376 470 716 895 940 1432 1790 1880 3580 7160 8413 16826 33652 42065 67304 84130 126743 168260 253486 336520 506972 633715 1013944 1267430 2534860 5069720 5956921 11913842 22686997 23827684 29784605 45373994 47655368 59569210 90747988 113434985 119138420 181495976 226869970 238276840 453739940 907479880 1066288859 2132577718 4265155436 5331444295 8530310872 10662888590 21325777180 42651554360