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20345317740 = 223251110275413
BaseRepresentation
bin10010111100101011…
…001110100101101100
31221111220022020010200
4102330223032211230
5313131400131430
613202502433500
71320114230106
oct227453164554
957456266120
1020345317740
1186a0446390
123b39732890
131bc30b1867
14db00d4576
157e122c460
hex4bcace96c

20345317740 has 72 divisors (see below), whose sum is σ = 67324512528. Its totient is φ = 4932197760.

The previous prime is 20345317723. The next prime is 20345317757. The reversal of 20345317740 is 4771354302.

20345317740 is a `hidden beast` number, since 20 + 34 + 531 + 7 + 74 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20345317723) and next prime (20345317757).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20345317695 and 20345317704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5135727 + ... + 5139686.

It is an arithmetic number, because the mean of its divisors is an integer number (935062674).

Almost surely, 220345317740 is an apocalyptic number.

20345317740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20345317740 is an abundant number, since it is smaller than the sum of its proper divisors (46979194788).

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

20345317740 is a wasteful number, since it uses less digits than its factorization.

20345317740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10275439 (or 10275434 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 20345317740 in words is "twenty billion, three hundred forty-five million, three hundred seventeen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10275413 20550826 30826239 41101652 51377065 61652478 92478717 102754130 113029543 123304956 154131195 184957434 205508260 226059086 308262390 339088629 369914868 452118172 462393585 565147715 616524780 678177258 924787170 1017265887 1130295430 1356354516 1695443145 1849574340 2034531774 2260590860 3390886290 4069063548 5086329435 6781772580 10172658870 20345317740