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38376420779106 = 23217142987762869
BaseRepresentation
bin10001011100111001101001…
…11011011010010001100010
312000212202020202012000001200
420232130310323122101202
520012224402204412411
6213341515002542030
711040414324263304
oct1056346473322142
9160782222160050
1038376420779106
1111256392070a73
124379735807916
131854b5b5b0917
14969600405974
154683d3561e56
hex22e734eda462

38376420779106 has 48 divisors (see below), whose sum is σ = 88101634678200. Its totient is φ = 12031236048384.

The previous prime is 38376420779101. The next prime is 38376420779119. The reversal of 38376420779106 is 60197702467383.

38376420779106 is a `hidden beast` number, since 3 + 8 + 37 + 6 + 420 + 7 + 79 + 106 = 666.

38376420779106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16696548271881 + 21679872507225 = 4086141^2 + 4656165^2 .

It is not an unprimeable number, because it can be changed into a prime (38376420779101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43444161 + ... + 44318708.

Almost surely, 238376420779106 is an apocalyptic number.

38376420779106 is an abundant number, since it is smaller than the sum of its proper divisors (49725213899094).

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

38376420779106 is a wasteful number, since it uses less digits than its factorization.

38376420779106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87764323 (or 87764320 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 38376420779106 in words is "thirty-eight trillion, three hundred seventy-six billion, four hundred twenty million, seven hundred seventy-nine thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1429 2858 4287 8574 12861 24293 25722 48586 72879 145758 218637 437274 87762869 175525738 263288607 526577214 789865821 1491968773 1579731642 2983937546 4475906319 8951812638 13427718957 26855437914 125413139801 250826279602 376239419403 752478838806 1128718258209 2132023376617 2257436516418 4264046753234 6396070129851 12792140259702 19188210389553 38376420779106