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4106316134655 = 335722932118629
BaseRepresentation
bin111011110000010011100…
…000111011100011111111
3112112120010020020221002000
4323300103200323203333
51014234213412302110
612422225433433343
7602446225146300
oct73602340734377
915476106227060
104106316134655
11134352a452169
125639b8b6b853
1323a2bb030957
14102a651827a7
1571c349771c0
hex3bc1383b8ff

4106316134655 has 96 divisors (see below), whose sum is σ = 8520960369600. Its totient is φ = 1870765473024.

The previous prime is 4106316134629. The next prime is 4106316134663. The reversal of 4106316134655 is 5564316136014.

4106316134655 is a `hidden beast` number, since 4 + 1 + 0 + 631 + 6 + 1 + 3 + 4 + 6 + 5 + 5 = 666.

It is not a de Polignac number, because 4106316134655 - 217 = 4106316003583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4106316134655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 878881 + ... + 2997509.

It is an arithmetic number, because the mean of its divisors is an integer number (88760003850).

Almost surely, 24106316134655 is an apocalyptic number.

4106316134655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4106316134655 is an abundant number, since it is smaller than the sum of its proper divisors (4414644234945).

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

4106316134655 is a wasteful number, since it uses less digits than its factorization.

4106316134655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118950 (or 2118937 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 4106316134655 in words is "four trillion, one hundred six billion, three hundred sixteen million, one hundred thirty-four thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 293 315 441 735 879 945 1323 1465 2051 2205 2637 4395 6153 6615 7911 10255 13185 14357 18459 30765 39555 43071 55377 71785 92295 129213 215355 276885 387639 646065 1938195 2118629 6355887 10593145 14830403 19067661 31779435 44491209 57202983 74152015 95338305 103812821 133473627 222456045 286014915 311438463 400420881 519064105 620758297 667368135 934315389 1557192315 1862274891 2002104405 2802946167 3103791485 4345308079 4671576945 5586824673 9311374455 13035924237 14014730835 16760474019 21726540395 27934123365 30417156553 39107772711 65179621185 83802370095 91251469659 117323318133 152085782765 195538863555 273754408977 456257348295 586616590665 821263226931 1368772044885 4106316134655