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10000052040 = 2335119778101
BaseRepresentation
bin10010101000000110…
…01010111101001000
3221210220212021111210
421110003022331020
5130440003131130
64332143453120
7502545016446
oct112403127510
927726767453
1010000052040
114271850120
121b30bb71a0
13c34a08074
146ac177b96
153d7dbd5b0
hex2540caf48

10000052040 has 128 divisors (see below), whose sum is σ = 33065262720. Its totient is φ = 2399232000.

The previous prime is 10000052039. The next prime is 10000052053. The reversal of 10000052040 is 4025000001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 88990 + ... + 167090.

It is an arithmetic number, because the mean of its divisors is an integer number (258322365).

Almost surely, 210000052040 is an apocalyptic number.

10000052040 is a gapful number since it is divisible by the number (10) 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 10000052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532631360).

10000052040 is an abundant number, since it is smaller than the sum of its proper divisors (23065210680).

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

10000052040 is a wasteful number, since it uses less digits than its factorization.

10000052040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78223 (or 78219 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 10000052040 its reverse (4025000001), we get a palindrome (14025052041).

The spelling of 10000052040 in words is "ten billion, fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 97 110 120 132 165 194 220 264 291 330 388 440 485 582 660 776 970 1067 1164 1320 1455 1940 2134 2328 2910 3201 3880 4268 5335 5820 6402 8536 10670 11640 12804 16005 21340 25608 32010 42680 64020 78101 128040 156202 234303 312404 390505 468606 624808 781010 859111 937212 1171515 1562020 1718222 1874424 2343030 2577333 3124040 3436444 4295555 4686060 5154666 6872888 7575797 8591110 9372120 10309332 12886665 15151594 17182220 20618664 22727391 25773330 30303188 34364440 37878985 45454782 51546660 60606376 75757970 83333767 90909564 103093320 113636955 151515940 166667534 181819128 227273910 250001301 303031880 333335068 416668835 454547820 500002602 666670136 833337670 909095640 1000005204 1250006505 1666675340 2000010408 2500013010 3333350680 5000026020 10000052040