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106506332626446 = 23253229487519031
BaseRepresentation
bin11000001101110111110000…
…000111110101111000001110
3111222002220110110000112210200
4120031313300013311320032
5102424444432123021241
61014304200031114330
731301554132025634
oct3015676007657016
9458086413015720
10106506332626446
1130a3309a175aa5
12bb417833729a6
1347576725a193c
141c42d10c9b354
15c4a71a2c94b6
hex60ddf01f5e0e

106506332626446 has 48 divisors (see below), whose sum is σ = 236144468720160. Its totient is φ = 34680153718080.

The previous prime is 106506332626423. The next prime is 106506332626487. The reversal of 106506332626446 is 644626233605601.

106506332626446 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 0 + 6 + 3 + 3 + 2 + 626 + 4 + 4 + 6 = 666.

It is a super-2 number, since 2×1065063326264462 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106506332626392 and 106506332626401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243541050 + ... + 243977981.

It is an arithmetic number, because the mean of its divisors is an integer number (4919676431670).

Almost surely, 2106506332626446 is an apocalyptic number.

106506332626446 is an abundant number, since it is smaller than the sum of its proper divisors (129638136093714).

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

106506332626446 is a wasteful number, since it uses less digits than its factorization.

106506332626446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487519321 (or 487519318 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 106506332626446 in words is "one hundred six trillion, five hundred six billion, three hundred thirty-two million, six hundred twenty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 53 106 159 229 318 458 477 687 954 1374 2061 4122 12137 24274 36411 72822 109233 218466 487519031 975038062 1462557093 2925114186 4387671279 8775342558 25838508643 51677017286 77515525929 111641858099 155031051858 223283716198 232546577787 334925574297 465093155574 669851148594 1004776722891 2009553445782 5917018479247 11834036958494 17751055437741 35502110875482 53253166313223 106506332626446