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10052986500 = 2232537393023
BaseRepresentation
bin10010101110011010…
…00110011010000100
3221221121110121221100
421113031012122010
5131042031032000
64341314220100
7504056655354
oct112715063204
927847417840
1010052986500
114299715607
121b46884630
13c4298002b
146b51d6b64
153dc877a00
hex257346684

10052986500 has 144 divisors (see below), whose sum is σ = 31767240960. Its totient is φ = 2676283200.

The previous prime is 10052986457. The next prime is 10052986571. The reversal of 10052986500 is 568925001.

It is a happy number.

10052986500 is a `hidden beast` number, since 1 + 0 + 0 + 529 + 86 + 50 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3323989 + ... + 3327011.

It is an arithmetic number, because the mean of its divisors is an integer number (220605840).

Almost surely, 210052986500 is an apocalyptic number.

10052986500 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 10052986500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15883620480).

10052986500 is an abundant number, since it is smaller than the sum of its proper divisors (21714254460).

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

10052986500 is a wasteful number, since it uses less digits than its factorization.

10052986500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10052986500 in words is "ten billion, fifty-two million, nine hundred eighty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 739 750 900 1125 1478 1500 2217 2250 2956 3023 3695 4434 4500 6046 6651 7390 8868 9069 11085 12092 13302 14780 15115 18138 18475 22170 26604 27207 30230 33255 36276 36950 44340 45345 54414 55425 60460 66510 73900 75575 90690 92375 108828 110850 133020 136035 151150 166275 181380 184750 221700 226725 272070 277125 302300 332550 369500 377875 453450 544140 554250 665100 680175 755750 831375 906900 1108500 1133625 1360350 1511500 1662750 2233997 2267250 2720700 3325500 3400875 4467994 4534500 6701991 6801750 8935988 11169985 13403982 13603500 20105973 22339970 26807964 33509955 40211946 44679940 55849925 67019910 80423892 100529865 111699850 134039820 167549775 201059730 223399700 279249625 335099550 402119460 502649325 558499250 670199100 837748875 1005298650 1116998500 1675497750 2010597300 2513246625 3350995500 5026493250 10052986500