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38690176096 = 25111310977569
BaseRepresentation
bin100100000010000111…
…010011110001100000
310200212101101120220001
4210002013103301200
51113214141113341
625435104425344
72536531033135
oct440207236140
9120771346801
1038690176096
1115454660a50
1275b9318254
1338578b7c30
141c3065058c
151016a05d31
hex9021d3c60

38690176096 has 96 divisors (see below), whose sum is σ = 90310096800. Its totient is φ = 16084500480.

The previous prime is 38690176093. The next prime is 38690176199. The reversal of 38690176096 is 69067109683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38690176093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460000 + ... + 537568.

It is an arithmetic number, because the mean of its divisors is an integer number (940730175).

Almost surely, 238690176096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38690176096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45155048400).

38690176096 is an abundant number, since it is smaller than the sum of its proper divisors (51619920704).

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

38690176096 is a wasteful number, since it uses less digits than its factorization.

38690176096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77712 (or 77704 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 38690176096 in words is "thirty-eight billion, six hundred ninety million, one hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 109 143 176 208 218 286 352 416 436 572 872 1144 1199 1417 1744 2288 2398 2834 3488 4576 4796 5668 9592 11336 15587 19184 22672 31174 38368 45344 62348 77569 124696 155138 249392 310276 498784 620552 853259 1008397 1241104 1706518 2016794 2482208 3413036 4033588 6826072 8067176 8455021 11092367 13652144 16134352 16910042 22184734 27304288 32268704 33820084 44369468 67640168 88738936 93005231 109915273 135280336 177477872 186010462 219830546 270560672 354955744 372020924 439661092 744041848 879322184 1209068003 1488083696 1758644368 2418136006 2976167392 3517288736 4836272012 9672544024 19345088048 38690176096