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10856110608 = 2432788312197
BaseRepresentation
bin10100001110001001…
…10001101000010000
31001000120200120002200
422013010301220100
5134213131014413
64553124043200
7533011263150
oct120704615020
931016616080
1010856110608
114670a9a642
12212b833500
131040187bb5
1474db36760
1543811a573
hex287131a10

10856110608 has 120 divisors (see below), whose sum is σ = 34764495168. Its totient is φ = 3097979136.

The previous prime is 10856110591. The next prime is 10856110609. The reversal of 10856110608 is 80601165801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10856110609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 883966 + ... + 896162.

Almost surely, 210856110608 is an apocalyptic number.

10856110608 is a gapful number since it is divisible by the number (18) 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 10856110608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17382247584).

10856110608 is an abundant number, since it is smaller than the sum of its proper divisors (23908384560).

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

10856110608 is a wasteful number, since it uses less digits than its factorization.

10856110608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13101 (or 13092 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10856110608 in words is "ten billion, eight hundred fifty-six million, one hundred ten thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 883 1008 1766 2649 3532 5298 6181 7064 7947 10596 12197 12362 14128 15894 18543 21192 24394 24724 31788 36591 37086 42384 48788 49448 55629 63576 73182 74172 85379 97576 98896 109773 111258 127152 146364 148344 170758 195152 219546 222516 256137 292728 296688 341516 439092 445032 512274 585456 683032 768411 878184 890064 1024548 1366064 1536822 1756368 2049096 3073644 4098192 6147288 10769951 12294576 21539902 32309853 43079804 64619706 75389657 86159608 96929559 129239412 150779314 172319216 193859118 226168971 258478824 301558628 387718236 452337942 516957648 603117256 678506913 775436472 904675884 1206234512 1357013826 1550872944 1809351768 2714027652 3618703536 5428055304 10856110608