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10861955136 = 263236751383
BaseRepresentation
bin10100001110110110…
…00100100001000000
31001000222200111021200
422013123010201000
5134221130031021
64553453221200
7533112044454
oct120733044100
931028614250
1010861955136
11467432172a
122131791800
1310414531b6
14750818664
154388c2126
hex2876c4840

10861955136 has 84 divisors (see below), whose sum is σ = 31219274112. Its totient is φ = 3610715904.

The previous prime is 10861955123. The next prime is 10861955149. The reversal of 10861955136 is 63155916801.

10861955136 is a `hidden beast` number, since 1 + 0 + 8 + 61 + 9 + 551 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (10861955123) and next prime (10861955149).

It is a junction number, because it is equal to n+sod(n) for n = 10861955091 and 10861955100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185701 + ... + 237083.

Almost surely, 210861955136 is an apocalyptic number.

10861955136 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 10861955136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15609637056).

10861955136 is an abundant number, since it is smaller than the sum of its proper divisors (20357318976).

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

10861955136 is a wasteful number, since it uses less digits than its factorization.

10861955136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51768 (or 51755 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10861955136 in words is "ten billion, eight hundred sixty-one million, nine hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 367 576 734 1101 1468 2202 2936 3303 4404 5872 6606 8808 11744 13212 17616 23488 26424 35232 51383 52848 70464 102766 105696 154149 205532 211392 308298 411064 462447 616596 822128 924894 1233192 1644256 1849788 2466384 3288512 3699576 4932768 7399152 9865536 14798304 18857561 29596608 37715122 56572683 75430244 113145366 150860488 169718049 226290732 301720976 339436098 452581464 603441952 678872196 905162928 1206883904 1357744392 1810325856 2715488784 3620651712 5430977568 10861955136