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106284344030256 = 24371316272403173
BaseRepresentation
bin11000001010101001000000…
…100100100011010000110000
3111221022200110200022102220210
4120022221000210203100300
5102412330314032432011
61014014204213104120
731246535061060330
oct3012510044432060
9457280420272823
10106284344030256
1130957a34418057
12bb0674b928040
13473c7558c4302
141c362927670c0
15c44a7672a6a6
hex60aa40923430

106284344030256 has 80 divisors (see below), whose sum is σ = 313794387373824. Its totient is φ = 30366712096512.

The previous prime is 106284344030239. The next prime is 106284344030297. The reversal of 106284344030256 is 652030443482601.

It is a happy number.

It is a super-2 number, since 2×1062843440302562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43025086 + ... + 45428258.

Almost surely, 2106284344030256 is an apocalyptic number.

106284344030256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106284344030256 is an abundant number, since it is smaller than the sum of its proper divisors (207510043343568).

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

106284344030256 is a wasteful number, since it uses less digits than its factorization.

106284344030256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534818 (or 2534812 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 106284344030256 in words is "one hundred six trillion, two hundred eighty-four billion, three hundred forty-four million, thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 131627 263254 394881 526508 789762 921389 1053016 1579524 1842778 2106032 2403173 2764167 3159048 3685556 4806346 5528334 6318096 7209519 7371112 9612692 11056668 14419038 14742224 16822211 19225384 22113336 28838076 33644422 38450768 44226672 50466633 57676152 67288844 100933266 115352304 134577688 201866532 269155376 403733064 807466128 316322452471 632644904942 948967357413 1265289809884 1897934714826 2214257167297 2530579619768 3795869429652 4428514334594 5061159239536 6642771501891 7591738859304 8857028669188 13285543003782 15183477718608 17714057338376 26571086007564 35428114676752 53142172015128 106284344030256