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5101106048 = 27317971613
BaseRepresentation
bin1001100000000110…
…01011001110000000
3111011111122000222122
410300003023032000
540421340343143
62202102223412
7240260454203
oct46003131600
914144560878
105101106048
112188494525
12ba4424b68
13633a9b95c
1436569d93a
151ecc78c68
hex1300cb380

5101106048 has 64 divisors (see below), whose sum is σ = 10509851520. Its totient is φ = 2463651840.

The previous prime is 5101106033. The next prime is 5101106063. The reversal of 5101106048 is 8406011015.

It is an interprime number because it is at equal distance from previous prime (5101106033) and next prime (5101106063).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 3161690 + ... + 3163302.

It is an arithmetic number, because the mean of its divisors is an integer number (164216430).

Almost surely, 25101106048 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 5101106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254925760).

5101106048 is an abundant number, since it is smaller than the sum of its proper divisors (5408745472).

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

5101106048 is a wasteful number, since it uses less digits than its factorization.

5101106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 5101106048 is about 71422.0277505477. The cubic root of 5101106048 is about 1721.4250457914.

The spelling of 5101106048 in words is "five billion, one hundred one million, one hundred six thousand, forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 797 992 1594 1613 1984 3188 3226 3968 6376 6452 12752 12904 24707 25504 25808 49414 50003 51008 51616 98828 100006 102016 103232 197656 200012 206464 395312 400024 790624 800048 1285561 1581248 1600096 2571122 3162496 3200192 5142244 6400384 10284488 20568976 39852391 41137952 79704782 82275904 159409564 164551808 318819128 637638256 1275276512 2550553024 5101106048