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20774033424 = 2432120112
BaseRepresentation
bin10011010110001110…
…101001100000010000
31222121210000020111100
4103112032221200100
5320021123032144
613313215344400
71333541241054
oct232616514020
958553006440
1020774033424
1188a0444871
124039222100
131c60b68691
141011011c64
15818bb4269
hex4d63a9810

20774033424 has 45 divisors (see below), whose sum is σ = 58143281599. Its totient is φ = 6924101280.

The previous prime is 20774033393. The next prime is 20774033453. The reversal of 20774033424 is 42433047702.

The square root of 20774033424 is 144132.

It is a perfect power (a square), and thus also a powerful number.

20774033424 is a `hidden beast` number, since 207 + 7 + 403 + 3 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1723579 + ... + 1735589.

Almost surely, 220774033424 is an apocalyptic number.

20774033424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20774033424 is the 144132-nd square number.

It is an amenable number.

20774033424 is an abundant number, since it is smaller than the sum of its proper divisors (37369248175).

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

20774033424 is an frugal number, since it uses more digits than its factorization.

20774033424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24036 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

Multiplying 20774033424 by its sum of digits (36), we get a square (747865203264 = 8647922).

20774033424 divided by its sum of digits (36) gives a square (577056484 = 240222).

The spelling of 20774033424 in words is "twenty billion, seven hundred seventy-four million, thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12011 24022 36033 48044 72066 96088 108099 144132 192176 216198 288264 432396 576528 864792 1729584 144264121 288528242 432792363 577056484 865584726 1154112968 1298377089 1731169452 2308225936 2596754178 3462338904 5193508356 6924677808 10387016712 20774033424