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4115415104 = 26431977591
BaseRepresentation
bin1111010101001100…
…0100000001000000
3101121210212202012122
43311103010001000
531412021240404
61520211343412
7203661310523
oct36523040100
911553782178
104115415104
111822054309
1296a2b1b68
13507801788
142b07d8bba
151914723be
hexf54c4040

4115415104 has 56 divisors (see below), whose sum is σ = 8399971008. Its totient is φ = 1999388160.

The previous prime is 4115415089. The next prime is 4115415113. The reversal of 4115415104 is 4015145114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 538349 + ... + 545939.

Almost surely, 24115415104 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 4115415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199985504).

4115415104 is an abundant number, since it is smaller than the sum of its proper divisors (4284555904).

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

4115415104 is a wasteful number, since it uses less digits than its factorization.

4115415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7843 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 4115415104 is about 64151.5011827471. The cubic root of 4115415104 is about 1602.5240245521.

The spelling of 4115415104 in words is "four billion, one hundred fifteen million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 172 197 344 394 688 788 1376 1576 2752 3152 6304 7591 8471 12608 15182 16942 30364 33884 60728 67768 121456 135536 242912 271072 326413 485824 542144 652826 1305652 1495427 2611304 2990854 5222608 5981708 10445216 11963416 20890432 23926832 47853664 64303361 95707328 128606722 257213444 514426888 1028853776 2057707552 4115415104