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10134553500 = 2232537330851
BaseRepresentation
bin10010111000001000…
…10000001110011100
3222011021221122211100
421130010100032130
5131223421203000
64353350353100
7506100166131
oct113404201634
928137848740
1010134553500
114330767055
121b6a05b790
13c5683b726
146c1d8a588
153e4adaa00
hex25c11039c

10134553500 has 144 divisors (see below), whose sum is σ = 32410149408. Its totient is φ = 2665440000.

The previous prime is 10134553489. The next prime is 10134553529. The reversal of 10134553500 is 535543101.

10134553500 is a `hidden beast` number, since 101 + 3 + 4 + 5 + 53 + 500 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 313075 + ... + 343925.

It is an arithmetic number, because the mean of its divisors is an integer number (225070482).

Almost surely, 210134553500 is an apocalyptic number.

10134553500 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 10134553500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16205074704).

10134553500 is an abundant number, since it is smaller than the sum of its proper divisors (22275595908).

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

10134553500 is a wasteful number, since it uses less digits than its factorization.

10134553500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30949 (or 30934 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 10134553500 in words is "ten billion, one hundred thirty-four million, five hundred fifty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 125 146 150 180 219 225 250 292 300 365 375 438 450 500 657 730 750 876 900 1095 1125 1314 1460 1500 1825 2190 2250 2628 3285 3650 4380 4500 5475 6570 7300 9125 10950 13140 16425 18250 21900 27375 30851 32850 36500 54750 61702 65700 82125 92553 109500 123404 154255 164250 185106 277659 308510 328500 370212 462765 555318 617020 771275 925530 1110636 1388295 1542550 1851060 2252123 2313825 2776590 3085100 3856375 4504246 4627650 5553180 6756369 6941475 7712750 9008492 9255300 11260615 11569125 13512738 13882950 15425500 20269107 22521230 23138250 27025476 27765900 33781845 34707375 40538214 45042460 46276500 56303075 67563690 69414750 81076428 101345535 112606150 135127380 138829500 168909225 202691070 225212300 281515375 337818450 405382140 506727675 563030750 675636900 844546125 1013455350 1126061500 1689092250 2026910700 2533638375 3378184500 5067276750 10134553500