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61609330240 = 2651814392423
BaseRepresentation
bin111001011000001100…
…111100011001000000
312220000122211020210221
4321120030330121000
52002133442031430
644145233432424
74310510444413
oct713014743100
9186018736727
1061609330240
1124145951757
12bb34a0b714
135a6acab9c3
142da64d5b7a
151908b9657a
hexe5833c640

61609330240 has 112 divisors (see below), whose sum is σ = 147914807040. Its totient is φ = 24441661440.

The previous prime is 61609330187. The next prime is 61609330243. The reversal of 61609330240 is 4203390616.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 61609330196 and 61609330205.

It is not an unprimeable number, because it can be changed into a prime (61609330243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25425669 + ... + 25428091.

It is an arithmetic number, because the mean of its divisors is an integer number (1320667920).

Almost surely, 261609330240 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 61609330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73957403520).

61609330240 is an abundant number, since it is smaller than the sum of its proper divisors (86305476800).

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

61609330240 is a wasteful number, since it uses less digits than its factorization.

61609330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 61609330240 in words is "sixty-one billion, six hundred nine million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 320 362 439 724 878 905 1448 1756 1810 2195 2423 2896 3512 3620 4390 4846 5792 7024 7240 8780 9692 11584 12115 14048 14480 17560 19384 24230 28096 28960 35120 38768 48460 57920 70240 77536 79459 96920 140480 155072 158918 193840 317836 387680 397295 438563 635672 775360 794590 877126 1063697 1271344 1589180 1754252 2127394 2192815 2542688 3178360 3508504 4254788 4385630 5085376 5318485 6356720 7017008 8509576 8771260 10636970 12713440 14034016 17019152 17542520 21273940 25426880 28068032 34038304 35085040 42547880 68076608 70170080 85095760 140340160 170191520 192529157 340383040 385058314 770116628 962645785 1540233256 1925291570 3080466512 3850583140 6160933024 7701166280 12321866048 15402332560 30804665120 61609330240