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1940898816 = 21032210601
BaseRepresentation
bin111001110101111…
…1100010000000000
312000021010212122100
41303223330100000
512433332230231
6520332110400
766045240063
oct16353742000
95007125570
101940898816
1190665000a
12462005400
1324c15354c
14145ab28da
15b55db1e6
hex73afc400

1940898816 has 66 divisors (see below), whose sum is σ = 5604329822. Its totient is φ = 646963200.

The previous prime is 1940898797. The next prime is 1940898821. The reversal of 1940898816 is 6188980491.

It can be written as a sum of positive squares in only one way, i.e., 973440000 + 967458816 = 31200^2 + 31104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96085 + ... + 114516.

Almost surely, 21940898816 is an apocalyptic number.

1940898816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1940898816 is an abundant number, since it is smaller than the sum of its proper divisors (3663431006).

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

1940898816 is a wasteful number, since it uses less digits than its factorization.

1940898816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210627 (or 210606 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 1940898816 is about 44055.6331925896. The cubic root of 1940898816 is about 1247.3862860219.

The spelling of 1940898816 in words is "one billion, nine hundred forty million, eight hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 210601 421202 631803 842404 1263606 1684808 1895409 2527212 3369616 3790818 5054424 6739232 7581636 10108848 13478464 15163272 20217696 26956928 30326544 40435392 53913856 60653088 80870784 107827712 121306176 161741568 215655424 242612352 323483136 485224704 646966272 970449408 1940898816