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20114046976 = 2182772
BaseRepresentation
bin10010101110111001…
…000000000000000000
31220220210010110021211
4102232321000000000
5312143144000401
613123521455504
71311305402242
oct225671000000
956823113254
1020114046976
118591945221
123a941a1594
131b871c905a
14d8b4d2092
157cac97951
hex4aee40000

20114046976 has 57 divisors (see below), whose sum is σ = 40373769009. Its totient is φ = 10020716544.

The previous prime is 20114046949. The next prime is 20114046977. The reversal of 20114046976 is 67964041102.

The square root of 20114046976 is 141824.

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

It can be written as a sum of positive squares in only one way, i.e., 3466854400 + 16647192576 = 58880^2 + 129024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20114046977) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 72613750 + ... + 72614026.

It is an arithmetic number, because the mean of its divisors is an integer number (708311737).

Almost surely, 220114046976 is an apocalyptic number.

20114046976 is the 141824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20114046976

20114046976 is an abundant number, since it is smaller than the sum of its proper divisors (20259722033).

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

20114046976 is an frugal number, since it uses more digits than its factorization.

20114046976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 20114046976 in words is "twenty billion, one hundred fourteen million, forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 277 512 554 1024 1108 2048 2216 4096 4432 8192 8864 16384 17728 32768 35456 65536 70912 76729 131072 141824 153458 262144 283648 306916 567296 613832 1134592 1227664 2269184 2455328 4538368 4910656 9076736 9821312 18153472 19642624 36306944 39285248 72613888 78570496 157140992 314281984 628563968 1257127936 2514255872 5028511744 10057023488 20114046976