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10897269504 = 283115692267
BaseRepresentation
bin10100010011000011…
…10010001100000000
31001010110010122111020
422021201302030000
5134304200111004
65001154145440
7534021156012
oct121141621400
931113118436
1010897269504
114692251960
122141582280
131048869084
147553ac1b2
1543ba4a8d9
hex289872300

10897269504 has 144 divisors (see below), whose sum is σ = 31708817280. Its totient is φ = 3294945280.

The previous prime is 10897269503. The next prime is 10897269511. The reversal of 10897269504 is 40596279801.

It is not an unprimeable number, because it can be changed into a prime (10897269503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4805779 + ... + 4808045.

It is an arithmetic number, because the mean of its divisors is an integer number (220200120).

Almost surely, 210897269504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10897269504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854408640).

10897269504 is an abundant number, since it is smaller than the sum of its proper divisors (20811547776).

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

10897269504 is a wasteful number, since it uses less digits than its factorization.

10897269504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 10897269504 in words is "ten billion, eight hundred ninety-seven million, two hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 569 704 768 1056 1138 1408 1707 2112 2267 2276 2816 3414 4224 4534 4552 6259 6801 6828 8448 9068 9104 12518 13602 13656 18136 18208 18777 24937 25036 27204 27312 36272 36416 37554 49874 50072 54408 54624 72544 72832 74811 75108 99748 100144 108816 109248 145088 145664 149622 150216 199496 200288 217632 218496 290176 299244 300432 398992 400576 435264 436992 580352 598488 600864 797984 801152 870528 1196976 1201728 1289923 1595968 1602304 1741056 2393952 2403456 2579846 3191936 3869769 4787904 4806912 5159692 6383872 7739538 9575808 10319384 14189153 15479076 19151616 20638768 28378306 30958152 41277536 42567459 56756612 61916304 82555072 85134918 113513224 123832608 165110144 170269836 227026448 247665216 330220288 340539672 454052896 495330432 681079344 908105792 990660864 1362158688 1816211584 2724317376 3632423168 5448634752 10897269504