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207085375794132 = 223311196901885289
BaseRepresentation
bin101111000101011111010010…
…010000110010101111010100
31000011020011112220012202011000
4233011133102100302233110
5204120341322200403012
62012233412554343300
761422265443001563
oct5705372220625724
91004204486182130
10207085375794132
115aa90461a27440
121b28664942ab30
138b720b4695894
14391cdb2959bda
1518e1b74b94ddc
hexbc57d2432bd4

207085375794132 has 96 divisors (see below), whose sum is σ = 585699648508800. Its totient is φ = 62752754592000.

The previous prime is 207085375794061. The next prime is 207085375794137. The reversal of 207085375794132 is 231497573580702.

207085375794132 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 8 + 53 + 7 + 579 + 4 + 1 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 207085375794132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207085375794137) 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, 233475744 + ... + 234361032.

It is an arithmetic number, because the mean of its divisors is an integer number (6101038005300).

Almost surely, 2207085375794132 is an apocalyptic number.

207085375794132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

207085375794132 is an abundant number, since it is smaller than the sum of its proper divisors (378614272714668).

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

207085375794132 is a wasteful number, since it uses less digits than its factorization.

207085375794132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082214 (or 1082206 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 207085375794132 in words is "two hundred seven trillion, eighty-five billion, three hundred seventy-five million, seven hundred ninety-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 196901 393802 590703 787604 885289 1181406 1770578 1772109 2165911 2362812 2655867 3541156 3544218 4331822 5311734 5316327 6497733 7088436 7967601 8663644 9738179 10623468 10632654 12995466 15935202 19476358 19493199 21265308 23902803 25990932 29214537 31870404 38952716 38986398 47805606 58429074 58479597 77972796 87643611 95611212 116858148 116959194 175287222 233918388 262930833 350574444 525861666 1051723332 174314289389 348628578778 522942868167 697257157556 1045885736334 1568828604501 1917457183279 2091771472668 3137657209002 3834914366558 4706485813503 5752371549837 6275314418004 7669828733116 9412971627006 11504743099674 17257114649511 18825943254012 23009486199348 34514229299022 51771343948533 69028458598044 103542687897066 207085375794132