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10047487900 = 22521723298861
BaseRepresentation
bin10010101101110000…
…00111111110011100
3221221020010021021111
421112320013332130
5131034124103100
64341000311404
7503662144432
oct112670077634
927836107244
1010047487900
1142965aa40a
121b44a72564
13c417a6318
146b45a4d52
153dc13d6ba
hex256e07f9c

10047487900 has 144 divisors (see below), whose sum is σ = 24922779840. Its totient is φ = 3492966400.

The previous prime is 10047487829. The next prime is 10047487963. The reversal of 10047487900 is 978474001.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1129470 + ... + 1138330.

It is an arithmetic number, because the mean of its divisors is an integer number (173074860).

Almost surely, 210047487900 is an apocalyptic number.

10047487900 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 10047487900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461389920).

10047487900 is an abundant number, since it is smaller than the sum of its proper divisors (14875291940).

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

10047487900 is a wasteful number, since it uses less digits than its factorization.

10047487900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8944 (or 8937 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 10047487900 in words is "ten billion, forty-seven million, four hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 23 25 29 34 46 50 58 68 85 92 100 115 116 145 170 230 290 340 391 425 460 493 575 580 667 725 782 850 986 1150 1334 1450 1564 1700 1955 1972 2300 2465 2668 2900 3335 3910 4930 6670 7820 8861 9775 9860 11339 12325 13340 16675 17722 19550 22678 24650 33350 35444 39100 44305 45356 49300 56695 66700 88610 113390 150637 177220 203803 221525 226780 256969 283475 301274 407606 443050 513938 566950 602548 753185 815212 886100 1019015 1027876 1133900 1284845 1506370 2038030 2569690 3012740 3464651 3765925 4076060 4368473 5095075 5139380 5910287 6424225 6929302 7531850 8736946 10190150 11820574 12848450 13858604 15063700 17323255 17473892 20380300 21842365 23641148 25696900 29551435 34646510 43684730 59102870 69293020 86616275 87369460 100474879 109211825 118205740 147757175 173232550 200949758 218423650 295514350 346465100 401899516 436847300 502374395 591028700 1004748790 2009497580 2511871975 5023743950 10047487900