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10005800376 = 23311134367801
BaseRepresentation
bin10010101000110010…
…00110010110111000
3221211022200022202010
421110121012112320
5130442441103001
64332511005520
7502644620445
oct112431062670
927738608663
1010005800376
114275016a10
121b32b098a0
13c35c6b650
146acc329cc
153d86568d6
hex2546465b8

10005800376 has 128 divisors (see below), whose sum is σ = 30071543040. Its totient is φ = 2733696000.

The previous prime is 10005800341. The next prime is 10005800471. The reversal of 10005800376 is 67300850001.

It is a congruent number.

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, 113676 + ... + 181476.

It is an arithmetic number, because the mean of its divisors is an integer number (234933930).

Almost surely, 210005800376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005800376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15035771520).

10005800376 is an abundant number, since it is smaller than the sum of its proper divisors (20065742664).

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

10005800376 is a wasteful number, since it uses less digits than its factorization.

10005800376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67877 (or 67873 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10005800376 in words is "ten billion, five million, eight hundred thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 43 44 52 66 78 86 88 104 129 132 143 156 172 258 264 286 312 344 429 473 516 559 572 858 946 1032 1118 1144 1419 1677 1716 1892 2236 2838 3354 3432 3784 4472 5676 6149 6708 11352 12298 13416 18447 24596 36894 49192 67801 73788 135602 147576 203403 271204 406806 542408 745811 813612 881413 1491622 1627224 1762826 2237433 2644239 2915443 2983244 3525652 4474866 5288478 5830886 5966488 7051304 8746329 8949732 9695543 10576956 11661772 17492658 17899464 19391086 21153912 23323544 29086629 32069873 34985316 37900759 38782172 58173258 64139746 69970632 75801518 77564344 96209619 113702277 116346516 128279492 151603036 192419238 227404554 232693032 256558984 303206072 384838476 416908349 454809108 769676952 833816698 909618216 1250725047 1667633396 2501450094 3335266792 5002900188 10005800376