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10452365389056 = 28367491413711
BaseRepresentation
bin1001100000011010000110…
…0001101010110100000000
31101000020101022112000020010
42120012201201222310000
52332222421014422211
634121430025144520
72126105233613133
oct230064141526400
941006338460203
1010452365389056
11336a906851258
1212098a402b140
135aa8665c4576
14281c7bc3221a
15131d53bbc4a6
hex981a186ad00

10452365389056 has 144 divisors (see below), whose sum is σ = 28291307885568. Its totient is φ = 3425121638400.

The previous prime is 10452365388919. The next prime is 10452365389163. The reversal of 10452365389056 is 65098356325401.

It is a happy number.

It is a super-2 number, since 2×104523653890562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10452365388987 and 10452365389005.

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, 25058041 + ... + 25471751.

It is an arithmetic number, because the mean of its divisors is an integer number (196467415872).

Almost surely, 210452365389056 is an apocalyptic number.

10452365389056 is a gapful number since it is divisible by the number (16) 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 10452365389056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14145653942784).

10452365389056 is an abundant number, since it is smaller than the sum of its proper divisors (17838942496512).

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

10452365389056 is an equidigital number, since it uses as much as digits as its factorization.

10452365389056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414288 (or 414274 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 57.

The spelling of 10452365389056 in words is "ten trillion, four hundred fifty-two billion, three hundred sixty-five million, three hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 491 536 768 804 982 1072 1473 1608 1964 2144 2946 3216 3928 4288 5892 6432 7856 8576 11784 12864 15712 17152 23568 25728 31424 32897 47136 51456 62848 65794 94272 98691 125696 131588 188544 197382 263176 377088 394764 413711 526352 789528 827422 1052704 1241133 1579056 1654844 2105408 2482266 3158112 3309688 4210816 4964532 6316224 6619376 8421632 9929064 12632448 13238752 19858128 25264896 26477504 27718637 39716256 52955008 55437274 79432512 83155911 105910016 110874548 158865024 166311822 203132101 221749096 317730048 332623644 406264202 443498192 609396303 665247288 812528404 886996384 1218792606 1330494576 1625056808 1773992768 2437585212 2660989152 3250113616 3547985536 4875170424 5321978304 6500227232 7095971072 9750340848 10643956608 13000454464 13609850767 19500681696 21287913216 26000908928 27219701534 39001363392 40829552301 52001817856 54439403068 78002726784 81659104602 108878806136 156005453568 163318209204 217757612272 326636418408 435515224544 653272836816 871030449088 1306545673632 1742060898176 2613091347264 3484121796352 5226182694528 10452365389056