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5129119215 = 3251121755411
BaseRepresentation
bin1001100011011100…
…00010010111101111
3111020110100020211100
410301232002113233
541001023303330
62204542454143
7241050536223
oct46156022757
914213306740
105129119215
1121a2288200
12bb1894353
136398294ac
143692b2783
1520045e060
hex131b825ef

5129119215 has 72 divisors (see below), whose sum is σ = 10347193584. Its totient is φ = 2340518400.

The previous prime is 5129119213. The next prime is 5129119223.

5129119215 is a `hidden beast` number, since 512 + 9 + 119 + 21 + 5 = 666.

5129119215 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5129119215 - 21 = 5129119213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5129119215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5129119213) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64860 + ... + 120270.

It is an arithmetic number, because the mean of its divisors is an integer number (143711022).

Almost surely, 25129119215 is an apocalyptic number.

5129119215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5129119215 is an abundant number, since it is smaller than the sum of its proper divisors (5218074369).

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

5129119215 is a wasteful number, since it uses less digits than its factorization.

5129119215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55461 (or 55447 counting only the distinct ones).

The product of its digits is 8100, while the sum is 36.

The square root of 5129119215 is about 71617.8693832761. The cubic root of 5129119215 is about 1724.5704135054.

The spelling of 5129119215 in words is "five billion, one hundred twenty-nine million, one hundred nineteen thousand, two hundred fifteen".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 121 153 165 187 255 363 495 561 605 765 935 1089 1683 1815 2057 2805 5445 6171 8415 10285 18513 30855 55411 92565 166233 277055 498699 609521 831165 941987 1828563 2493495 2825961 3047605 4709935 5485689 6704731 8477883 9142815 10361857 14129805 20114193 27428445 31085571 33523655 42389415 51809285 60342579 93256713 100570965 113980427 155427855 301712895 341941281 466283565 569902135 1025823843 1709706405 5129119215