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1076106506352 = 243591033689137
BaseRepresentation
bin11111010100011001111…
…00100011000001110000
310210212121201020112021120
433222030330203001300
5120112331231200402
62142205001022240
7140513631245133
oct17521474430160
93725551215246
101076106506352
11385413083629
12154681a84980
137a626890057
143a12607421a
151ced2eec3bc
hexfa8cf23070

1076106506352 has 80 divisors (see below), whose sum is σ = 2854507418880. Its totient is φ = 349198857216.

The previous prime is 1076106506281. The next prime is 1076106506369. The reversal of 1076106506352 is 2536056016701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552873 + ... + 2136264.

It is an arithmetic number, because the mean of its divisors is an integer number (35681342736).

Almost surely, 21076106506352 is an apocalyptic number.

1076106506352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1076106506352 is an abundant number, since it is smaller than the sum of its proper divisors (1778400912528).

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

1076106506352 is a wasteful number, since it uses less digits than its factorization.

1076106506352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689310 (or 3689304 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 1076106506352 in words is "one trillion, seventy-six billion, one hundred six million, five hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 103 118 177 206 236 309 354 412 472 618 708 824 944 1236 1416 1648 2472 2832 4944 6077 12154 18231 24308 36462 48616 72924 97232 145848 291696 3689137 7378274 11067411 14756548 22134822 29513096 44269644 59026192 88539288 177078576 217659083 379981111 435318166 652977249 759962222 870636332 1139943333 1305954498 1519924444 1741272664 2279886666 2611908996 3039848888 3482545328 4559773332 5223817992 6079697776 9119546664 10447635984 18239093328 22418885549 44837771098 67256656647 89675542196 134513313294 179351084392 269026626588 358702168784 538053253176 1076106506352