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20503172640 = 2535148928687
BaseRepresentation
bin10011000110000101…
…011001011000100000
31221220220100002100110
4103012011121120200
5313442303011030
613230302051320
71324042043346
oct230605313040
957826302313
1020503172640
118771563085
123b82579b40
131c19a00b22
14dc7065996
1580000e1b0
hex4c6159620

20503172640 has 96 divisors (see below), whose sum is σ = 64630621440. Its totient is φ = 5463650304.

The previous prime is 20503172639. The next prime is 20503172671. The reversal of 20503172640 is 4627130502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20503172598 and 20503172607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700377 + ... + 729063.

It is an arithmetic number, because the mean of its divisors is an integer number (673235640).

Almost surely, 220503172640 is an apocalyptic number.

20503172640 is a gapful number since it is divisible by the number (20) 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 20503172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32315310720).

20503172640 is an abundant number, since it is smaller than the sum of its proper divisors (44127448800).

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

20503172640 is a wasteful number, since it uses less digits than its factorization.

20503172640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30194 (or 30186 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 20503172640 in words is "twenty billion, five hundred three million, one hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1489 2978 4467 5956 7445 8934 11912 14890 17868 22335 23824 28687 29780 35736 44670 47648 57374 59560 71472 86061 89340 114748 119120 142944 143435 172122 178680 229496 238240 286870 344244 357360 430305 458992 573740 688488 714720 860610 917984 1147480 1376976 1721220 2294960 2753952 3442440 4589920 6884880 13769760 42714943 85429886 128144829 170859772 213574715 256289658 341719544 427149430 512579316 640724145 683439088 854298860 1025158632 1281448290 1366878176 1708597720 2050317264 2562896580 3417195440 4100634528 5125793160 6834390880 10251586320 20503172640