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211431004456 = 2376838096833
BaseRepresentation
bin1100010011101001000…
…1010001100100101000
3202012201222201212200211
43010322101101210220
511431002314120311
6241044032110504
721163312612420
oct3047221214450
9665658655624
10211431004456
1181738321021
1234b87995434
1316c26622339
14a33a307480
155776c9d821
hex313a451928

211431004456 has 64 divisors (see below), whose sum is σ = 454357123200. Its totient is φ = 90355550208.

The previous prime is 211431004451. The next prime is 211431004513. The reversal of 211431004456 is 654400134112.

It is not an unprimeable number, because it can be changed into a prime (211431004451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30939216 + ... + 30946048.

It is an arithmetic number, because the mean of its divisors is an integer number (7099330050).

Almost surely, 2211431004456 is an apocalyptic number.

It is an amenable number.

211431004456 is an abundant number, since it is smaller than the sum of its proper divisors (242926118744).

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

211431004456 is a wasteful number, since it uses less digits than its factorization.

211431004456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 211431004456 its reverse (654400134112), we get a palindrome (865831138568).

The spelling of 211431004456 in words is "two hundred eleven billion, four hundred thirty-one million, four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 683 809 1366 1618 2732 3236 4781 5464 5663 6472 6833 9562 11326 13666 19124 22652 27332 38248 45304 47831 54664 95662 191324 382648 552547 1105094 2210188 3867829 4420376 4666939 5527897 7735658 9333878 11055794 15471316 18667756 22111588 30942632 32668573 37335512 38695279 44223176 65337146 77390558 130674292 154781116 261348584 309562232 3775553651 7551107302 15102214604 26428875557 30204429208 52857751114 105715502228 211431004456