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76056632070 = 235237110911423
BaseRepresentation
bin100011011010101010…
…1000001101100000110
321021022111222020010220
41012311111001230012
52221230444211240
654535005325210
75331516464046
oct1066525015406
9237274866126
1076056632070
112a289a93421
12128a7266806
137231181403
143977167726
151ea21d35d0
hex11b5541b06

76056632070 has 128 divisors (see below), whose sum is σ = 193467875328. Its totient is φ = 19095753600.

The previous prime is 76056632063. The next prime is 76056632101. The reversal of 76056632070 is 7023665067.

It is a super-2 number, since 2×760566320702 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53447379 + ... + 53448801.

It is an arithmetic number, because the mean of its divisors is an integer number (1511467776).

Almost surely, 276056632070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76056632070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96733937664).

76056632070 is an abundant number, since it is smaller than the sum of its proper divisors (117411243258).

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

76056632070 is a wasteful number, since it uses less digits than its factorization.

76056632070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618.

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 76056632070 in words is "seventy-six billion, fifty-six million, six hundred thirty-two thousand, seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 71 115 138 142 213 230 345 355 426 690 710 1065 1091 1423 1633 2130 2182 2846 3266 3273 4269 4899 5455 6546 7115 8165 8538 9798 10910 14230 16330 16365 21345 24495 25093 32729 32730 42690 48990 50186 65458 75279 77461 98187 101033 125465 150558 154922 163645 196374 202066 232383 250930 303099 327290 376395 387305 464766 490935 505165 606198 752790 774610 981870 1010330 1161915 1515495 1552493 1781603 2323759 2323830 3030990 3104986 3563206 4647518 4657479 5344809 6971277 7762465 8908015 9314958 10689618 11618795 13942554 15524930 17816030 23237590 23287395 26724045 34856385 35707339 46574790 53448090 69712770 71414678 107122017 110227003 178536695 214244034 220454006 330681009 357073390 535610085 551135015 661362018 1071220170 1102270030 1653405045 2535221069 3306810090 5070442138 7605663207 12676105345 15211326414 25352210690 38028316035 76056632070