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61100506096 = 2472474993323
BaseRepresentation
bin111000111001110111…
…111011101111110000
312211201012101022022021
4320321313323233300
52000113212143341
644022535521224
74262061506200
oct707167735760
9184635338267
1061100506096
1123a04708633
12ba12529214
1359b9757326
142d58ac4400
1518c91889d1
hexe39dfbbf0

61100506096 has 120 divisors (see below), whose sum is σ = 140964192000. Its totient is φ = 25569726336.

The previous prime is 61100506013. The next prime is 61100506121. The reversal of 61100506096 is 69060500116.

It is a super-2 number, since 2×611005060962 (a number of 22 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 23 ways as a sum of consecutive naturals, for example, 18385491 + ... + 18388813.

It is an arithmetic number, because the mean of its divisors is an integer number (1174701600).

Almost surely, 261100506096 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 61100506096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70482096000).

61100506096 is an abundant number, since it is smaller than the sum of its proper divisors (79863685904).

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

61100506096 is a wasteful number, since it uses less digits than its factorization.

61100506096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 61100506096 in words is "sixty-one billion, one hundred million, five hundred six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 376 392 499 658 752 784 998 1316 1996 2303 2632 3323 3493 3992 4606 5264 6646 6986 7984 9212 13292 13972 18424 23261 23453 24451 26584 27944 36848 46522 46906 48902 53168 55888 93044 93812 97804 156181 162827 164171 186088 187624 195608 312362 325654 328342 372176 375248 391216 624724 651308 656684 1093267 1149197 1249448 1302616 1313368 1658177 2186534 2298394 2498896 2605232 2626736 3316354 4373068 4596788 6632708 7652869 8746136 9193576 11607239 13265416 15305738 17492272 18387152 23214478 26530832 30611476 46428956 61222952 77934319 81250673 92857912 122445904 155868638 162501346 185715824 311737276 325002692 545540233 623474552 650005384 1091080466 1246949104 1300010768 2182160932 3818781631 4364321864 7637563262 8728643728 15275126524 30550253048 61100506096