Search a number
-
+
76817690430 = 235133075871093
BaseRepresentation
bin100011110001010110…
…0001110111100111110
321100021120000222221120
41013202230032330332
52224310312043210
655142313411410
75356420411065
oct1074254167476
9240246028846
1076817690430
112a63a646878
1212a7a109b66
137322a4b3c0
143a0a2771dc
151ee8e17270
hex11e2b0ef3e

76817690430 has 128 divisors (see below), whose sum is σ = 199712798208. Its totient is φ = 18798054912.

The previous prime is 76817690429. The next prime is 76817690437. The reversal of 76817690430 is 3409671867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76817690437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70280964 + ... + 70282056.

It is an arithmetic number, because the mean of its divisors is an integer number (1560256236).

Almost surely, 276817690430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76817690430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99856399104).

76817690430 is an abundant number, since it is smaller than the sum of its proper divisors (122895107778).

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

76817690430 is a wasteful number, since it uses less digits than its factorization.

76817690430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010.

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 76817690430 in words is "seventy-six billion, eight hundred seventeen million, six hundred ninety thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 307 390 587 614 921 1093 1174 1535 1761 1842 2186 2935 3070 3279 3522 3991 4605 5465 5870 6558 7631 7982 8805 9210 10930 11973 14209 15262 16395 17610 19955 22893 23946 28418 32790 38155 39910 42627 45786 59865 71045 76310 85254 114465 119730 142090 180209 213135 228930 335551 360418 426270 540627 641591 671102 901045 1006653 1081254 1283182 1677755 1802090 1924773 2013306 2342717 2703135 3207955 3355510 3849546 4362163 4685434 5033265 5406270 6415910 7028151 8340683 8724326 9623865 10066530 11713585 13086489 14056302 16681366 19247730 21810815 23427170 25022049 26172978 35140755 41703415 43621630 50044098 65432445 70281510 83406830 125110245 130864890 196968437 250220490 393936874 590905311 984842185 1181810622 1969684370 2560589681 2954526555 5121179362 5909053110 7681769043 12802948405 15363538086 25605896810 38408845215 76817690430