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10108916856 = 23331712232251
BaseRepresentation
bin10010110101000100…
…11101010001111000
3222002111201011222000
421122202131101320
5131200340314411
64351033101000
7505336242543
oct113242352170
928074634860
1010108916856
114318246945
121b61557760
13c5143380c
146bc7d585a
153e2724956
hex25a89d478

10108916856 has 128 divisors (see below), whose sum is σ = 29769638400. Its totient is φ = 3167424000.

The previous prime is 10108916837. The next prime is 10108916861. The reversal of 10108916856 is 65861980101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4489731 + ... + 4491981.

It is an arithmetic number, because the mean of its divisors is an integer number (232575300).

Almost surely, 210108916856 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 10108916856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14884819200).

10108916856 is an abundant number, since it is smaller than the sum of its proper divisors (19660721544).

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

10108916856 is a wasteful number, since it uses less digits than its factorization.

10108916856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 10108916856 in words is "ten billion, one hundred eight million, nine hundred sixteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1223 1224 1836 2251 2446 3669 3672 4502 4892 6753 7338 9004 9784 11007 13506 14676 18008 20259 20791 22014 27012 29352 33021 38267 40518 41582 44028 54024 60777 62373 66042 76534 81036 83164 88056 114801 121554 124746 132084 153068 162072 166328 187119 229602 243108 249492 264168 306136 344403 374238 459204 486216 498984 561357 688806 748476 918408 1033209 1122714 1377612 1496952 2066418 2245428 2752973 2755224 4132836 4490856 5505946 8258919 8265672 11011892 16517838 22023784 24776757 33035676 46800541 49553514 66071352 74330271 93601082 99107028 140401623 148660542 187202164 198214056 280803246 297321084 374404328 421204869 561606492 594642168 842409738 1123212984 1263614607 1684819476 2527229214 3369638952 5054458428 10108916856