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20342083626 = 23231241331457
BaseRepresentation
bin10010111100011110…
…111001000000101010
31221111200012220202200
4102330132321000222
5313130033134001
613202305241030
71320044600154
oct227436710052
957450186680
1020342083626
118699637567
123b38633176
131bc251b797
14dad8d1ad4
157e0cde086
hex4bc7b902a

20342083626 has 96 divisors (see below), whose sum is σ = 45923344896. Its totient is φ = 6500736000.

The previous prime is 20342083613. The next prime is 20342083631. The reversal of 20342083626 is 62638024302.

20342083626 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 20 + 8 + 3 + 626 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44511990 + ... + 44512446.

It is an arithmetic number, because the mean of its divisors is an integer number (478368176).

Almost surely, 220342083626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20342083626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22961672448).

20342083626 is an abundant number, since it is smaller than the sum of its proper divisors (25581261270).

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

20342083626 is a wasteful number, since it uses less digits than its factorization.

20342083626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 20342083626 in words is "twenty billion, three hundred forty-two million, eighty-three thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 241 279 331 457 482 558 662 723 914 993 1371 1446 1986 2169 2742 2979 4113 4338 5958 7471 8226 10261 14167 14942 20522 22413 28334 30783 42501 44826 61566 67239 79771 85002 92349 110137 127503 134478 151267 159542 184698 220274 239313 255006 302534 330411 453801 478626 660822 717939 907602 991233 1361403 1435878 1982466 2472901 2722806 3414247 4689277 4945802 6828494 7418703 9378554 10242741 14067831 14837406 20485482 22256109 28135662 30728223 36455347 42203493 44512218 61456446 72910694 84406986 109366041 218732082 328098123 656196246 1130115757 2260231514 3390347271 6780694542 10171041813 20342083626