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42773642673444 = 22322982149903681
BaseRepresentation
bin10011011100111000000111…
…10001101111110100100100
312121110010020200221200110100
421232130003301233310210
521101300410011022234
6230545535024424100
712003202511551134
oct1156340361576444
9177403220850410
1042773642673444
11126a1222201041
12496999a478030
131ab36ca2b4b87
14a7c380982ac4
154e29920a3399
hex26e703c6fd24

42773642673444 has 72 divisors (see below), whose sum is σ = 111986856628920. Its totient is φ = 13749461913600.

The previous prime is 42773642673413. The next prime is 42773642673451. The reversal of 42773642673444 is 44437624637724.

42773642673444 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 364 + 267 + 3 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29663172900 + 42743979500544 = 172230^2 + 6537888^2 .

It is a super-2 number, since 2×427736426734442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24094717 + ... + 25808964.

It is an arithmetic number, because the mean of its divisors is an integer number (1555373008735).

Almost surely, 242773642673444 is an apocalyptic number.

It is an amenable number.

42773642673444 is an abundant number, since it is smaller than the sum of its proper divisors (69213213955476).

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

42773642673444 is a wasteful number, since it uses less digits than its factorization.

42773642673444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49904541 (or 49904536 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 63.

The spelling of 42773642673444 in words is "forty-two trillion, seven hundred seventy-three billion, six hundred forty-two million, six hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 821 1044 1642 2463 3284 4926 7389 9852 14778 23809 29556 47618 71427 95236 142854 214281 285708 428562 857124 49903681 99807362 149711043 199614724 299422086 449133129 598844172 898266258 1447206749 1796532516 2894413498 4341620247 5788826996 8683240494 13024860741 17366480988 26049721482 40970922101 52099442964 81941844202 122912766303 163883688404 245825532606 368738298909 491651065212 737476597818 1188156740929 1474953195636 2376313481858 3564470222787 4752626963716 7128940445574 10693410668361 14257880891148 21386821336722 42773642673444