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38465341408 = 2513127728069
BaseRepresentation
bin100011110100101101…
…101000011111100000
310200021201022210200101
4203310231220133200
51112234111411113
625400513432144
72531131002334
oct436455503740
9120251283611
1038465341408
111534975635a
127555b6b654
133820146a60
141c0c8457c4
151001de32dd
hex8f4b687e0

38465341408 has 48 divisors (see below), whose sum is σ = 82196190720. Its totient is φ = 17613421056.

The previous prime is 38465341379. The next prime is 38465341429. The reversal of 38465341408 is 80414356483.

38465341408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311203 + ... + 416866.

It is an arithmetic number, because the mean of its divisors is an integer number (1712420640).

Almost surely, 238465341408 is an apocalyptic number.

It is an amenable number.

38465341408 is an abundant number, since it is smaller than the sum of its proper divisors (43730849312).

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

38465341408 is a wasteful number, since it uses less digits than its factorization.

38465341408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728219 (or 728211 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 38465341408 in words is "thirty-eight billion, four hundred sixty-five million, three hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 127 208 254 416 508 1016 1651 2032 3302 4064 6604 13208 26416 52832 728069 1456138 2912276 5824552 9464897 11649104 18929794 23298208 37859588 75719176 92464763 151438352 184929526 302876704 369859052 739718104 1202041919 1479436208 2404083838 2958872416 4808167676 9616335352 19232670704 38465341408