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106624034550 = 232521121540209
BaseRepresentation
bin110001101001101001…
…0011010011011110110
3101012012210221011101200
41203103102122123312
53221331223101200
6120552111033330
710463146224405
oct1432322323366
9335183834350
10106624034550
1141245540320
12187b820b846
13a092c6aa07
145236ab163c
152b90a3b800
hex18d349a6f6

106624034550 has 72 divisors (see below), whose sum is σ = 312505366680. Its totient is φ = 25848249600.

The previous prime is 106624034537. The next prime is 106624034579. The reversal of 106624034550 is 55430426601.

106624034550 is a `hidden beast` number, since 1 + 0 + 6 + 62 + 40 + 3 + 4 + 550 = 666.

It is a super-2 number, since 2×1066240345502 (a number of 23 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 35 ways as a sum of consecutive naturals, for example, 10765155 + ... + 10775054.

It is an arithmetic number, because the mean of its divisors is an integer number (4340352315).

Almost surely, 2106624034550 is an apocalyptic number.

106624034550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106624034550 is an abundant number, since it is smaller than the sum of its proper divisors (205881332130).

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

106624034550 is a wasteful number, since it uses less digits than its factorization.

106624034550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21540238 (or 21540230 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 106624034550 in words is "one hundred six billion, six hundred twenty-four million, thirty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 21540209 43080418 64620627 107701045 129241254 193861881 215402090 236942299 323103135 387723762 473884598 538505225 646206270 710826897 969309405 1077010450 1184711495 1421653794 1615515675 1938618810 2132480691 2369422990 3231031350 3554134485 4264961382 4846547025 5923557475 7108268970 9693094050 10662403455 11847114950 17770672425 21324806910 35541344850 53312017275 106624034550