Search a number
-
+
769293600138 = 2327172912384391
BaseRepresentation
bin10110011000111010111…
…10001100010110001010
32201112200101122000011200
423030131132030112022
5100101003130201023
61345224131405030
7106402545465240
oct13143536142612
92645611560150
10769293600138
1127728a200028
12105116a53776
135770c4441bb
142933c198790
151502767e743
hexb31d78c58a

769293600138 has 96 divisors (see below), whose sum is σ = 2086522364160. Its totient is φ = 199735441920.

The previous prime is 769293600137. The next prime is 769293600269. The reversal of 769293600138 is 831006392967.

769293600138 is a `hidden beast` number, since 7 + 6 + 9 + 29 + 3 + 600 + 1 + 3 + 8 = 666.

769293600138 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (769293600137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6130078 + ... + 6254313.

It is an arithmetic number, because the mean of its divisors is an integer number (21734607960).

Almost surely, 2769293600138 is an apocalyptic number.

769293600138 is an abundant number, since it is smaller than the sum of its proper divisors (1317228764022).

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

769293600138 is a wasteful number, since it uses less digits than its factorization.

769293600138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12384452 (or 12384449 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 769293600138 in words is "seven hundred sixty-nine billion, two hundred ninety-three million, six hundred thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 29 34 42 51 58 63 87 102 119 126 153 174 203 238 261 306 357 406 493 522 609 714 986 1071 1218 1479 1827 2142 2958 3451 3654 4437 6902 8874 10353 20706 31059 62118 12384391 24768782 37153173 74306346 86690737 111459519 173381474 210534647 222919038 260072211 359147339 421069294 520144422 631603941 718294678 780216633 1077442017 1263207882 1473742529 1560433266 1894811823 2154884034 2514031373 2947485058 3232326051 3789623646 4421227587 5028062746 6105504763 6464652102 7542094119 8842455174 12211009526 13263682761 15084188238 18316514289 22626282357 26527365522 36633028578 42738533341 45252564714 54949542867 85477066682 109899085734 128215600023 256431200046 384646800069 769293600138