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106620224634 = 232711559113759
BaseRepresentation
bin110001101001100001…
…1111000010001111010
3101012012112202121011200
41203103003320101322
53221324234142014
6120551453235030
710463101645650
oct1432303702172
9335175677150
10106620224634
1141243378930
12187b6a92a76
13a092235821
14523639cdd0
152b90537a09
hex18d30f847a

106620224634 has 96 divisors (see below), whose sum is σ = 288085524480. Its totient is φ = 27686599200.

The previous prime is 106620224629. The next prime is 106620224639. The reversal of 106620224634 is 436422026601.

106620224634 is a `hidden beast` number, since 1 + 0 + 6 + 620 + 2 + 24 + 6 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (106620224629) and next prime (106620224639).

It is a super-2 number, since 2×1066202246342 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106620224639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7742247 + ... + 7756005.

It is an arithmetic number, because the mean of its divisors is an integer number (3000890880).

Almost surely, 2106620224634 is an apocalyptic number.

106620224634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106620224634 is an abundant number, since it is smaller than the sum of its proper divisors (181465299846).

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

106620224634 is a wasteful number, since it uses less digits than its factorization.

106620224634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19376 (or 19373 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 106620224634 in words is "one hundred six billion, six hundred twenty million, two hundred twenty-four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 5591 11182 13759 16773 27518 33546 39137 41277 50319 61501 78274 82554 96313 100638 117411 123002 123831 151349 184503 192626 234822 247662 288939 302698 352233 369006 430507 454047 553509 577878 704466 861014 866817 908094 1059443 1107018 1291521 1362141 1733634 2118886 2583042 2724282 3178329 3874563 6356658 7749126 9534987 19069974 76926569 153853138 230779707 461559414 538485983 692339121 846192259 1076971966 1384678242 1615457949 1692384518 2538576777 3230915898 4846373847 5077153554 5923345813 7615730331 9692747694 11846691626 15231460662 17770037439 35540074878 53310112317 106620224634