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12356103542406 = 23131953157310411
BaseRepresentation
bin1011001111001110000100…
…1010011001011010000110
31121202020021002201101022120
42303303201022121122012
53104420300001324111
642140152100510410
72413461523124031
oct263634112313206
947666232641276
1012356103542406
113a34215365978
1214768420ab406
136b823893ac60
1430a077cd4018
15166625c11406
hexb3ce1299686

12356103542406 has 64 divisors (see below), whose sum is σ = 28542401153280. Its totient is φ = 3533821050240.

The previous prime is 12356103542399. The next prime is 12356103542407. The reversal of 12356103542406 is 60424530165321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12356103542407) 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, 78576660 + ... + 78733751.

It is an arithmetic number, because the mean of its divisors is an integer number (445975018020).

Almost surely, 212356103542406 is an apocalyptic number.

12356103542406 is an abundant number, since it is smaller than the sum of its proper divisors (16186297610874).

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

12356103542406 is a wasteful number, since it uses less digits than its factorization.

12356103542406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157310501.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 12356103542406 in words is "twelve trillion, three hundred fifty-six billion, one hundred three million, five hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 53 57 78 106 114 159 247 318 494 689 741 1007 1378 1482 2014 2067 3021 4134 6042 13091 26182 39273 78546 157310411 314620822 471931233 943862466 2045035343 2988897809 4090070686 5977795618 6135106029 8337451783 8966693427 12270212058 16674903566 17933386854 25012355349 38855671517 50024710698 77711343034 108386873179 116567014551 158411583877 216773746358 233134029102 316823167754 325160619537 475234751631 650321239074 950469503262 2059350590401 4118701180802 6178051771203 12356103542406