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10106686422 = 2327176770423
BaseRepresentation
bin10010110100110011…
…11100101111010110
3222002100111212101100
421122121330233112
5131144302431142
64350513210530
7505311263040
oct113231745726
928070455340
1010106686422
114316a63108
121b60860a46
13c50b32531
146bc3b4a90
153e2433b4c
hex25a67cbd6

10106686422 has 96 divisors (see below), whose sum is σ = 26894080512. Its totient is φ = 2677162752.

The previous prime is 10106686409. The next prime is 10106686451. The reversal of 10106686422 is 22468660101.

10106686422 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 6 + 8 + 642 + 2 = 666.

It is a super-2 number, since 2×101066864222 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108303 + ... + 178725.

It is an arithmetic number, because the mean of its divisors is an integer number (280146672).

Almost surely, 210106686422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106686422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447040256).

10106686422 is an abundant number, since it is smaller than the sum of its proper divisors (16787394090).

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

10106686422 is a wasteful number, since it uses less digits than its factorization.

10106686422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70522 (or 70519 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10106686422 in words is "ten billion, one hundred six million, six hundred eighty-six thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 67 102 119 126 134 153 201 238 306 357 402 469 603 714 938 1071 1139 1206 1407 2142 2278 2814 3417 4221 6834 7973 8442 10251 15946 20502 23919 47838 70423 71757 140846 143514 211269 422538 492961 633807 985922 1197191 1267614 1478883 2394382 2957766 3591573 4436649 4718341 7183146 8380337 8873298 9436682 10774719 14155023 16760674 21549438 25141011 28310046 33028387 42465069 50282022 66056774 75423033 80211797 84930138 99085161 150846066 160423594 198170322 240635391 297255483 481270782 561482579 594510966 721906173 1122965158 1443812346 1684447737 3368895474 5053343211 10106686422