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10452313040 = 2451379127219
BaseRepresentation
bin10011011110000000…
…11010001111010000
3222222102212111222012
421233000122033100
5132401243004130
64445101202052
7520006123601
oct115700321720
928872774865
1010452313040
114484070544
122038560328
13ca7616c20
14712263da8
15412956995
hex26f01a3d0

10452313040 has 80 divisors (see below), whose sum is σ = 26502470400. Its totient is φ = 3810433536.

The previous prime is 10452313037. The next prime is 10452313073. The reversal of 10452313040 is 4031325401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10452312997 and 10452313015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18551 + ... + 145769.

It is an arithmetic number, because the mean of its divisors is an integer number (331280880).

Almost surely, 210452313040 is an apocalyptic number.

10452313040 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 10452313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251235200).

10452313040 is an abundant number, since it is smaller than the sum of its proper divisors (16050157360).

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

10452313040 is a wasteful number, since it uses less digits than its factorization.

10452313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127324 (or 127318 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 10452313040 its reverse (4031325401), we get a palindrome (14483638441).

The spelling of 10452313040 in words is "ten billion, four hundred fifty-two million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 158 208 260 316 395 520 632 790 1027 1040 1264 1580 2054 3160 4108 5135 6320 8216 10270 16432 20540 41080 82160 127219 254438 508876 636095 1017752 1272190 1653847 2035504 2544380 3307694 5088760 6615388 8269235 10050301 10177520 13230776 16538470 20100602 26461552 33076940 40201204 50251505 66153880 80402408 100503010 130653913 132307760 160804816 201006020 261307826 402012040 522615652 653269565 804024080 1045231304 1306539130 2090462608 2613078260 5226156520 10452313040