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51155366031 = 327112910723789
BaseRepresentation
bin101111101001000110…
…001111000010001111
311220001002211211212100
4233221012033002033
51314231233203111
635300033010143
73460451302560
oct575106170217
9156032754770
1051155366031
111a770963710
129ab79b3953
134a93237373
142693d62167
1514e6015756
hexbe918f08f

51155366031 has 96 divisors (see below), whose sum is σ = 96195340800. Its totient is φ = 25417002240.

The previous prime is 51155366029. The next prime is 51155366039. The reversal of 51155366031 is 13066355115.

51155366031 is a `hidden beast` number, since 5 + 1 + 15 + 5 + 36 + 603 + 1 = 666.

It is not a de Polignac number, because 51155366031 - 21 = 51155366029 is a prime.

It is a super-2 number, since 2×511553660312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51155366039) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2138485 + ... + 2162273.

It is an arithmetic number, because the mean of its divisors is an integer number (1002034800).

Almost surely, 251155366031 is an apocalyptic number.

51155366031 is a deficient number, since it is larger than the sum of its proper divisors (45039974769).

51155366031 is a wasteful number, since it uses less digits than its factorization.

51155366031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23949 (or 23946 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 51155366031 in words is "fifty-one billion, one hundred fifty-five million, three hundred sixty-six thousand, thirty-one".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 107 203 231 261 319 321 609 693 749 957 963 1177 1827 2233 2247 2871 3103 3531 6699 6741 8239 9309 10593 20097 21721 23789 24717 27927 34133 65163 71367 74151 102399 166523 195489 214101 238931 261679 307197 499569 689881 716793 785037 1498707 1831753 2069643 2150379 2355111 2545423 4829167 5495259 6208929 7588691 7636269 14487501 16485777 17817961 22766073 22908807 27999653 43462503 53120837 53453883 68298219 73817267 83998959 159362511 160361649 195997571 221451801 251996877 478087533 516720869 587992713 664355403 811989937 1550162607 1763978139 2435969811 4650487821 5683929559 7307909433 17051788677 51155366031