Search a number
-
+
32545320540 = 22351788136217
BaseRepresentation
bin11110010011110110…
…100010111001011100
310010000010202120202020
4132103312202321130
51013123100224130
622541235100140
72231334442305
oct362366427134
9103003676666
1032545320540
1112890a92027
126383441650
1330b8801a25
14180a4d57ac
15ca7307e10
hex793da2e5c

32545320540 has 96 divisors (see below), whose sum is σ = 96599490624. Its totient is φ = 8158740480.

The previous prime is 32545320539. The next prime is 32545320629. The reversal of 32545320540 is 4502354523.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880512 + ... + 916728.

It is an arithmetic number, because the mean of its divisors is an integer number (1006244694).

Almost surely, 232545320540 is an apocalyptic number.

32545320540 is a gapful number since it is divisible by the number (30) 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 32545320540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48299745312).

32545320540 is an abundant number, since it is smaller than the sum of its proper divisors (64054170084).

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

32545320540 is a wasteful number, since it uses less digits than its factorization.

32545320540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37127 (or 37125 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The spelling of 32545320540 in words is "thirty-two billion, five hundred forty-five million, three hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 881 1020 1762 2643 3524 4405 5286 8810 10572 13215 14977 17620 26430 29954 36217 44931 52860 59908 72434 74885 89862 108651 144868 149770 179724 181085 217302 224655 299540 362170 434604 449310 543255 615689 724340 898620 1086510 1231378 1847067 2173020 2462756 3078445 3694134 6156890 7388268 9235335 12313780 18470670 31907177 36941340 63814354 95721531 127628708 159535885 191443062 319071770 382886124 478607655 542422009 638143540 957215310 1084844018 1627266027 1914430620 2169688036 2712110045 3254532054 5424220090 6509064108 8136330135 10848440180 16272660270 32545320540