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61106606172 = 223323120120483
BaseRepresentation
bin111000111010001111…
…001101000001011100
312211201121212020001000
4320322033031001130
52000121242344142
644023314350300
74262164403523
oct707217150134
9184647766030
1061106606172
1123a080a4717
12ba1458b390
1359baab1a41
142d598314ba
1518c999114c
hexe3a3cd05c

61106606172 has 96 divisors (see below), whose sum is σ = 165458280960. Its totient is φ = 19466092800.

The previous prime is 61106606159. The next prime is 61106606177. The reversal of 61106606172 is 27160660116.

61106606172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61106606177) 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, 2973043 + ... + 2993525.

It is an arithmetic number, because the mean of its divisors is an integer number (1723523760).

Almost surely, 261106606172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61106606172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82729140480).

61106606172 is an abundant number, since it is smaller than the sum of its proper divisors (104351674788).

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

61106606172 is a wasteful number, since it uses less digits than its factorization.

61106606172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21720 (or 21712 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 61106606172 in words is "sixty-one billion, one hundred six million, six hundred six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1201 1242 2402 2484 3603 4804 7206 10809 14412 20483 21618 27623 32427 40966 43236 55246 61449 64854 81932 82869 110492 122898 129708 165738 184347 245796 248607 331476 368694 471109 497214 553041 737388 745821 942218 994428 1106082 1413327 1491642 1884436 2212164 2826654 2983284 4239981 5653308 8479962 12719943 16959924 24600083 25439886 49200166 50879772 73800249 98400332 147600498 221400747 295200996 442801494 565801909 664202241 885602988 1131603818 1328404482 1697405727 2263207636 2656808964 3394811454 5092217181 6789622908 10184434362 15276651543 20368868724 30553303086 61106606172