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9514132680 = 2335137278389
BaseRepresentation
bin10001101110001011…
…00010010011001000
3220120001112000110110
420313011202103020
5123441104221210
64212024514320
7454524536103
oct106705422310
926501460413
109514132680
114042530778
121a1631b9a0
13b88143010
1466380973a
153aa3d7420
hex2371624c8

9514132680 has 128 divisors (see below), whose sum is σ = 30783916800. Its totient is φ = 2338440192.

The previous prime is 9514132679. The next prime is 9514132681. The reversal of 9514132680 is 862314159.

It is an interprime number because it is at equal distance from previous prime (9514132679) and next prime (9514132681).

It is a super-3 number, since 3×95141326803 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (9514132681) 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, 1129926 + ... + 1138314.

It is an arithmetic number, because the mean of its divisors is an integer number (240499350).

Almost surely, 29514132680 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 9514132680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15391958400).

9514132680 is an abundant number, since it is smaller than the sum of its proper divisors (21269784120).

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

9514132680 is a wasteful number, since it uses less digits than its factorization.

9514132680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9143 (or 9139 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 9514132680 is about 97540.4156234737. The cubic root of 9514132680 is about 2118.9615092927.

The spelling of 9514132680 in words is "nine billion, five hundred fourteen million, one hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 727 780 1454 1560 2181 2908 3635 4362 5816 7270 8389 8724 9451 10905 14540 16778 17448 18902 21810 25167 28353 29080 33556 37804 41945 43620 47255 50334 56706 67112 75608 83890 87240 94510 100668 109057 113412 125835 141765 167780 189020 201336 218114 226824 251670 283530 327171 335560 378040 436228 503340 545285 567060 654342 872456 1006680 1090570 1134120 1308684 1635855 2181140 2617368 3271710 4362280 6098803 6543420 12197606 13086840 18296409 24395212 30494015 36592818 48790424 60988030 73185636 79284439 91482045 121976060 146371272 158568878 182964090 237853317 243952120 317137756 365928180 396422195 475706634 634275512 731856360 792844390 951413268 1189266585 1585688780 1902826536 2378533170 3171377560 4757066340 9514132680