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15135146036540 = 2256137932733133
BaseRepresentation
bin1101110000111110110100…
…0000001100110100111100
31222120220110100110100220022
43130033231000030310330
53440433234341132130
652104553510111312
73121323012432665
oct334175500146474
958526410410808
1015135146036540
114905863402072
12184536194b538
1385a313294a3a
143a478b5b836c
151b3a771797e5
hexdc3ed00cd3c

15135146036540 has 48 divisors (see below), whose sum is σ = 32390090755680. Its totient is φ = 5939099470080.

The previous prime is 15135146036539. The next prime is 15135146036573. The reversal of 15135146036540 is 4563064153151.

15135146036540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×151351460365403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15135146036491 and 15135146036500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15904187 + ... + 16828946.

It is an arithmetic number, because the mean of its divisors is an integer number (674793557410).

Almost surely, 215135146036540 is an apocalyptic number.

15135146036540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15135146036540 is an abundant number, since it is smaller than the sum of its proper divisors (17254944719140).

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

15135146036540 is a wasteful number, since it uses less digits than its factorization.

15135146036540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32733582 (or 32733580 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 15135146036540 in words is "fifteen trillion, one hundred thirty-five billion, one hundred forty-six million, thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 379 610 758 1220 1516 1895 3790 7580 23119 46238 92476 115595 231190 462380 32733133 65466266 130932532 163665665 327331330 654662660 1996721113 3993442226 7986884452 9983605565 12405857407 19967211130 24811714814 39934422260 49623429628 62029287035 124058574070 248117148140 756757301827 1513514603654 3027029207308 3783786509135 7567573018270 15135146036540