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10188326340 = 22335113166967
BaseRepresentation
bin10010111110100010…
…11000010111000100
3222022001010121022000
421133101120113010
5131331202420330
64402551105300
7510322226223
oct113721302704
928261117260
1010188326340
114359054415
121b84072230
13c64a1818a
146c9186cba
153e96ad560
hex25f4585c4

10188326340 has 96 divisors (see below), whose sum is σ = 31977711360. Its totient is φ = 2692827648.

The previous prime is 10188326339. The next prime is 10188326341. The reversal of 10188326340 is 4362388101.

10188326340 is a `hidden beast` number, since 1 + 0 + 18 + 8 + 3 + 2 + 634 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10188326339) and next prime (10188326341).

It is a super-2 number, since 2×101883263402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10188326295 and 10188326304.

It is not an unprimeable number, because it can be changed into a prime (10188326341) 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, 22464 + ... + 144503.

It is an arithmetic number, because the mean of its divisors is an integer number (333101160).

Almost surely, 210188326340 is an apocalyptic number.

10188326340 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 10188326340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988855680).

10188326340 is an abundant number, since it is smaller than the sum of its proper divisors (21789385020).

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

10188326340 is a wasteful number, since it uses less digits than its factorization.

10188326340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167098 (or 167090 counting only the distinct ones).

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

The spelling of 10188326340 in words is "ten billion, one hundred eighty-eight million, three hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 113 135 180 226 270 339 452 540 565 678 1017 1130 1356 1695 2034 2260 3051 3390 4068 5085 6102 6780 10170 12204 15255 20340 30510 61020 166967 333934 500901 667868 834835 1001802 1502703 1669670 2003604 2504505 3005406 3339340 4508109 5009010 6010812 7513515 9016218 10018020 15027030 18032436 18867271 22540545 30054060 37734542 45081090 56601813 75469084 90162180 94336355 113203626 169805439 188672710 226407252 283009065 339610878 377345420 509416317 566018130 679221756 849027195 1018832634 1132036260 1698054390 2037665268 2547081585 3396108780 5094163170 10188326340