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5148668415 = 3511101308951
BaseRepresentation
bin1001100101110001…
…00111000111111111
3111021211010110021210
410302320213013333
541021024342130
62210521455503
7241405650042
oct46270470777
914254113253
105148668415
11220231a870
12bb8341593
136408b2677
1436bb20c59
152020215b0
hex132e271ff

5148668415 has 32 divisors (see below), whose sum is σ = 9075773952. Its totient is φ = 2471600000.

The previous prime is 5148668407. The next prime is 5148668417.

5148668415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5148668415 - 23 = 5148668407 is a prime.

It is a super-2 number, since 2×51486684152 = 53017572895237224450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5148668417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137811 + ... + 171140.

It is an arithmetic number, because the mean of its divisors is an integer number (283617936).

Almost surely, 25148668415 is an apocalyptic number.

5148668415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5148668415 is a deficient number, since it is larger than the sum of its proper divisors (3927105537).

5148668415 is a wasteful number, since it uses less digits than its factorization.

5148668415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309071.

The product of its digits is 921600, while the sum is 48.

The square root of 5148668415 is about 71754.2222799467. Note that the first 4 decimals coincide. The cubic root of 5148668415 is about 1726.7586533923.

The spelling of 5148668415 in words is "five billion, one hundred forty-eight million, six hundred sixty-eight thousand, four hundred fifteen".

Divisors: 1 3 5 11 15 33 55 101 165 303 505 1111 1515 3333 5555 16665 308951 926853 1544755 3398461 4634265 10195383 16992305 31204051 50976915 93612153 156020255 343244561 468060765 1029733683 1716222805 5148668415