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5146892037 = 347210911897
BaseRepresentation
bin1001100101100011…
…10101011100000101
3111021200210012120000
410302301311130011
541020101021122
62210415431513
7241354601100
oct46261653405
914250705500
105146892037
112201317191
12bb7825599
1364040cc61
1436b7bb737
15201cc00ac
hex132c75705

5146892037 has 60 divisors (see below), whose sum is σ = 9026655660. Its totient is φ = 2913853824.

The previous prime is 5146892017. The next prime is 5146892039. The reversal of 5146892037 is 7302986415.

5146892037 is a `hidden beast` number, since 514 + 6 + 89 + 20 + 37 = 666.

5146892037 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4612311396 + 534580641 = 67914^2 + 23121^2 .

It is not a de Polignac number, because 5146892037 - 218 = 5146629893 is a prime.

5146892037 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 5146891983 and 5146892001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146892039) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 426673 + ... + 438569.

It is an arithmetic number, because the mean of its divisors is an integer number (150444261).

It is a 1-persistent number, because it is pandigital, but 2⋅5146892037 = 10293784074 is not.

Almost surely, 25146892037 is an apocalyptic number.

It is an amenable number.

5146892037 is a deficient number, since it is larger than the sum of its proper divisors (3879763623).

5146892037 is a wasteful number, since it uses less digits than its factorization.

5146892037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12032 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5146892037 is about 71741.8429997446. The cubic root of 5146892037 is about 1726.5600435338.

The spelling of 5146892037 in words is "five billion, one hundred forty-six million, eight hundred ninety-two thousand, thirty-seven".

Divisors: 1 3 7 9 21 27 49 63 81 109 147 189 327 441 567 763 981 1323 2289 2943 3969 5341 6867 8829 11897 16023 20601 35691 48069 61803 83279 107073 144207 249837 321219 432621 582953 749511 963657 1296773 1748859 2248533 3890319 5246577 6745599 9077411 11670957 15739731 27232233 35012871 47219193 63541877 81696699 105038613 190625631 245090097 571876893 735270291 1715630679 5146892037