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61109169140 = 22519417335351
BaseRepresentation
bin111000111010011000…
…111110101111110100
312211201210200102202202
4320322120332233310
52000122421403030
644023445324032
74262225236655
oct707230765764
9184653612682
1061109169140
1123a09595278
12ba15406618
1359bb49b4a6
142d59cdb52c
1518c9cea745
hexe3a63ebf4

61109169140 has 96 divisors (see below), whose sum is σ = 138592823040. Its totient is φ = 22557312000.

The previous prime is 61109169137. The next prime is 61109169169. The reversal of 61109169140 is 4196190116.

It is a super-2 number, since 2×611091691402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 61109169094 and 61109169103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11417465 + ... + 11422815.

It is an arithmetic number, because the mean of its divisors is an integer number (1443675240).

Almost surely, 261109169140 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 61109169140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69296411520).

61109169140 is an abundant number, since it is smaller than the sum of its proper divisors (77483653900).

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

61109169140 is a wasteful number, since it uses less digits than its factorization.

61109169140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 61109169140 in words is "sixty-one billion, one hundred nine million, one hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 733 779 820 1466 1558 2932 3116 3665 3895 5351 7330 7790 10702 13927 14660 15580 21404 26755 27854 30053 53510 55708 60106 69635 101669 107020 120212 139270 150265 203338 219391 278540 300530 406676 438782 508345 571007 601060 877564 1016690 1096955 1142014 2033380 2193910 2284028 2855035 3922283 4168429 4387820 5710070 7844566 8336858 11420140 15689132 16673716 19611415 20842145 39222830 41684290 74523377 78445660 83368580 149046754 160813603 298093508 321627206 372616885 643254412 745233770 804068015 1490467540 1608136030 3055458457 3216272060 6110916914 12221833828 15277292285 30554584570 61109169140