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10454255040 = 263583131203
BaseRepresentation
bin10011011110001111…
…10100010111000000
3222222120112011220010
421233013310113000
5132402242130130
64445210544520
7520031462445
oct115707642700
928876464803
1010454255040
1144851775a9
122039138140
13ca7b46b38
1471260b9cc
15412bdc0b0
hex26f1f45c0

10454255040 has 112 divisors (see below), whose sum is σ = 33592422528. Its totient is φ = 2754192384.

The previous prime is 10454254991. The next prime is 10454255051. The reversal of 10454255040 is 4055245401.

10454255040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10454254989 and 10454255007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14079 + ... + 145281.

It is an arithmetic number, because the mean of its divisors is an integer number (299932344).

Almost surely, 210454255040 is an apocalyptic number.

10454255040 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 10454255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796211264).

10454255040 is an abundant number, since it is smaller than the sum of its proper divisors (23138167488).

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

10454255040 is a wasteful number, since it uses less digits than its factorization.

10454255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131306 (or 131296 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 10454255040 in words is "ten billion, four hundred fifty-four million, two hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 160 166 192 240 249 320 332 415 480 498 664 830 960 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 5312 6640 7968 9960 13280 15936 19920 26560 39840 79680 131203 262406 393609 524812 656015 787218 1049624 1312030 1574436 1968045 2099248 2624060 3148872 3936090 4198496 5248120 6297744 7872180 8396992 10496240 10889849 12595488 15744360 20992480 21779698 25190976 31488720 32669547 41984960 43559396 54449245 62977440 65339094 87118792 108898490 125954880 130678188 163347735 174237584 217796980 261356376 326695470 348475168 435593960 522712752 653390940 696950336 871187920 1045425504 1306781880 1742375840 2090851008 2613563760 3484751680 5227127520 10454255040