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5177609368092 = 223273204772
BaseRepresentation
bin100101101011000000110…
…0100010011001000011100
3200022222022111110212012100
41023112001210103020130
51134312220444234332
615002321053405100
71043032662324000
oct113260144231034
920288274425170
105177609368092
1117168a2565597
126b7556a99790
132b732864cc05
1413c851c80700
158ea3510467c
hex4b58191321c

5177609368092 has 108 divisors (see below), whose sum is σ = 15263539454800. Its totient is φ = 1479244719456.

The previous prime is 5177609368091. The next prime is 5177609368111. The reversal of 5177609368092 is 2908639067715.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5177609368092 is a `hidden beast` number, since 5 + 17 + 7 + 609 + 3 + 6 + 8 + 0 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5177609368091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252839758 + ... + 252860234.

Almost surely, 25177609368092 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 5177609368092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7631769727400).

5177609368092 is an abundant number, since it is smaller than the sum of its proper divisors (10085930086708).

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

5177609368092 is an frugal number, since it uses more digits than its factorization.

5177609368092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40985 (or 20489 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

Multiplying 5177609368092 by its sum of digits (63), we get a square (326189390189796 = 180607142).

5177609368092 divided by its sum of digits (63) gives a square (82184275684 = 2866782).

The spelling of 5177609368092 in words is "five trillion, one hundred seventy-seven billion, six hundred nine million, three hundred sixty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 20477 40954 61431 81908 122862 143339 184293 245724 286678 368586 430017 573356 737172 860034 1003373 1290051 1720068 2006746 2580102 3010119 4013492 5160204 6020238 7023611 9030357 12040476 14047222 18060714 21070833 28094444 36121428 42141666 63212499 84283332 126424998 252849996 419307529 838615058 1257922587 1677230116 2515845174 2935152703 3773767761 5031690348 5870305406 7547535522 8805458109 11740610812 15095071044 17610916218 20546068921 26416374327 35221832436 41092137842 52832748654 61638206763 82184275684 105665497308 123276413526 143822482447 184914620289 246552827052 287644964894 369829240578 431467447341 575289929788 739658481156 862934894682 1294402342023 1725869789364 2588804684046 5177609368092