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10856678640 = 2435314135591
BaseRepresentation
bin10100001110001101…
…11100010011110000
31001000121202102021220
422013012330103300
5134213302204030
64553144145040
7533016150213
oct120706742360
931017672256
1010856678640
114671348395
12212ba68180
131040326602
1474dc4377a
154381cda10
hex2871bc4f0

10856678640 has 160 divisors (see below), whose sum is σ = 35589722112. Its totient is φ = 2733312000.

The previous prime is 10856678597. The next prime is 10856678647. The reversal of 10856678640 is 4687665801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10856678647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287245 + ... + 322835.

Almost surely, 210856678640 is an apocalyptic number.

10856678640 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 10856678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794861056).

10856678640 is an abundant number, since it is smaller than the sum of its proper divisors (24733043472).

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

10856678640 is a wasteful number, since it uses less digits than its factorization.

10856678640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35679 (or 35673 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 10856678640 in words is "ten billion, eight hundred fifty-six million, six hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 41 48 60 62 80 82 93 120 123 124 155 164 186 205 240 246 248 310 328 372 410 465 492 496 615 620 656 744 820 930 984 1230 1240 1271 1488 1640 1860 1968 2460 2480 2542 3280 3720 3813 4920 5084 6355 7440 7626 9840 10168 12710 15252 19065 20336 25420 30504 35591 38130 50840 61008 71182 76260 101680 106773 142364 152520 177955 213546 284728 305040 355910 427092 533865 569456 711820 854184 1067730 1103321 1423640 1459231 1708368 2135460 2206642 2847280 2918462 3309963 4270920 4377693 4413284 5516605 5836924 6619926 7296155 8541840 8755386 8826568 11033210 11673848 13239852 14592310 16549815 17510772 17653136 21888465 22066420 23347696 26479704 29184620 33099630 35021544 43776930 44132840 45236161 52959408 58369240 66199260 70043088 87553860 88265680 90472322 116738480 132398520 135708483 175107720 180944644 226180805 264797040 271416966 350215440 361889288 452361610 542833932 678542415 723778576 904723220 1085667864 1357084830 1809446440 2171335728 2714169660 3618892880 5428339320 10856678640