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211413401520 = 24352366937217
BaseRepresentation
bin1100010011100100111…
…0000111111110110000
3202012200202121120000020
43010321032013332300
511430433312322040
6241042202523440
721163010156046
oct3047116077660
9665622546006
10211413401520
1181729398742
1234b81b06580
1316c22a9acb9
14a337c44396
155775472cd0
hex3139387fb0

211413401520 has 80 divisors (see below), whose sum is σ = 655426844640. Its totient is φ = 56373010432.

The previous prime is 211413401477. The next prime is 211413401533. The reversal of 211413401520 is 25104314112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5661952 + ... + 5699168.

It is an arithmetic number, because the mean of its divisors is an integer number (8192835558).

Almost surely, 2211413401520 is an apocalyptic number.

211413401520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211413401520 is an abundant number, since it is smaller than the sum of its proper divisors (444013443120).

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

211413401520 is a wasteful number, since it uses less digits than its factorization.

211413401520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60902 (or 60896 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 211413401520 its reverse (25104314112), we get a palindrome (236517715632).

The spelling of 211413401520 in words is "two hundred eleven billion, four hundred thirteen million, four hundred one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 23669 37217 47338 71007 74434 94676 111651 118345 142014 148868 186085 189352 223302 236690 284028 297736 355035 372170 378704 446604 473380 558255 568056 595472 710070 744340 893208 946760 1116510 1136112 1420140 1488680 1786416 1893520 2233020 2840280 2977360 4466040 5680560 8932080 880889173 1761778346 2642667519 3523556692 4404445865 5285335038 7047113384 8808891730 10570670076 13213337595 14094226768 17617783460 21141340152 26426675190 35235566920 42282680304 52853350380 70471133840 105706700760 211413401520