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10452140790 = 2357134498527
BaseRepresentation
bin10011011101111111…
…10000001011110110
3222222102112202200120
421232333300023312
5132401222001130
64445053352410
7520004505450
oct115677601366
928872482616
1010452140790
114483a63093
122038498706
13ca75866c0
1471221b2d0
15412920910
hex26eff02f6

10452140790 has 128 divisors (see below), whose sum is σ = 30946406400. Its totient is φ = 2200117248.

The previous prime is 10452140779. The next prime is 10452140791. The reversal of 10452140790 is 9704125401.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10452140791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1221507 + ... + 1230033.

It is an arithmetic number, because the mean of its divisors is an integer number (241768800).

Almost surely, 210452140790 is an apocalyptic number.

10452140790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10452140790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15473203200).

10452140790 is an abundant number, since it is smaller than the sum of its proper divisors (20494265610).

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

10452140790 is a wasteful number, since it uses less digits than its factorization.

10452140790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10452140790 in words is "ten billion, four hundred fifty-two million, one hundred forty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 449 455 546 898 910 1347 1365 2245 2694 2730 3143 4490 5837 6286 6735 8527 9429 11674 13470 15715 17054 17511 18858 25581 29185 31430 35022 40859 42635 47145 51162 58370 59689 81718 85270 87555 94290 110851 119378 122577 127905 175110 179067 204295 221702 245154 255810 298445 332553 358134 408590 554255 596890 612885 665106 775957 895335 1108510 1225770 1551914 1662765 1790670 2327871 3325530 3828623 3879785 4655742 7657246 7759570 11485869 11639355 19143115 22971738 23278710 26800361 38286230 49772099 53600722 57429345 80401083 99544198 114858690 134001805 149316297 160802166 248860495 268003610 298632594 348404693 402005415 497720990 696809386 746581485 804010830 1045214079 1493162970 1742023465 2090428158 3484046930 5226070395 10452140790