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11146728432 = 243733174787
BaseRepresentation
bin10100110000110010…
…11001001111110000
31001202211112110210210
422120121121033300
5140312030302212
65042025024120
7543140425350
oct123031311760
931684473723
1011146728432
114800046064
1221b1025040
13108844c3c8
1477a586b60
154538c453c
hex2986593f0

11146728432 has 40 divisors (see below), whose sum is σ = 32909389696. Its totient is φ = 3184779456.

The previous prime is 11146728421. The next prime is 11146728451. The reversal of 11146728432 is 23482764111.

It is a super-3 number, since 3×111467284323 (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16587058 + ... + 16587729.

Almost surely, 211146728432 is an apocalyptic number.

11146728432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11146728432 is an abundant number, since it is smaller than the sum of its proper divisors (21762661264).

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

11146728432 is a wasteful number, since it uses less digits than its factorization.

11146728432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33174805 (or 33174799 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The spelling of 11146728432 in words is "eleven billion, one hundred forty-six million, seven hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 33174787 66349574 99524361 132699148 199048722 232223509 265398296 398097444 464447018 530796592 696670527 796194888 928894036 1393341054 1592389776 1857788072 2786682108 3715576144 5573364216 11146728432