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2136536304 = 243759310723
BaseRepresentation
bin111111101011000…
…1111010011110000
312111220021021211020
41333112033103300
513333423130204
6552001215440
7103642154550
oct17726172360
95456237736
102136536304
119a7023391
124b7631580
13280840c86
14163a7b160
15c7882bd9
hex7f58f4f0

2136536304 has 80 divisors (see below), whose sum is σ = 6319095552. Its totient is φ = 609352704.

The previous prime is 2136536299. The next prime is 2136536317. The reversal of 2136536304 is 4036356312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193887 + ... + 204609.

Almost surely, 22136536304 is an apocalyptic number.

2136536304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136536304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159547776).

2136536304 is an abundant number, since it is smaller than the sum of its proper divisors (4182559248).

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

2136536304 is a wasteful number, since it uses less digits than its factorization.

2136536304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334 (or 11328 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 2136536304 is about 46222.6817049812. The cubic root of 2136536304 is about 1287.9631144356.

The spelling of 2136536304 in words is "two billion, one hundred thirty-six million, five hundred thirty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 593 1186 1779 2372 3558 4151 4744 7116 8302 9488 10723 12453 14232 16604 21446 24906 28464 32169 33208 42892 49812 64338 66416 75061 85784 99624 128676 150122 171568 199248 225183 257352 300244 450366 514704 600488 900732 1200976 1801464 3602928 6358739 12717478 19076217 25434956 38152434 44511173 50869912 76304868 89022346 101739824 133533519 152609736 178044692 267067038 305219472 356089384 534134076 712178768 1068268152 2136536304