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212437060080 = 24357126450631
BaseRepresentation
bin1100010111011000111…
…1000100100111110000
3202022100002210210120020
43011312033010213300
511440032341410310
6241331531243440
721230250134250
oct3056617044760
9668302723506
10212437060080
1182104200553
12352088a9580
1317056b9c91b
14a3d3b8d960
1557d5279170
hex31763c49f0

212437060080 has 80 divisors (see below), whose sum is σ = 752634161664. Its totient is φ = 48557041920.

The previous prime is 212437060037. The next prime is 212437060123. The reversal of 212437060080 is 80060734212.

212437060080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212437060037) and next prime (212437060123).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63223636 + ... + 63226995.

Almost surely, 2212437060080 is an apocalyptic number.

212437060080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212437060080 is an abundant number, since it is smaller than the sum of its proper divisors (540197101584).

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

212437060080 is a wasteful number, since it uses less digits than its factorization.

212437060080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126450654 (or 126450648 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 212437060080 its reverse (80060734212), we get a palindrome (292497794292).

The spelling of 212437060080 in words is "two hundred twelve billion, four hundred thirty-seven million, sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 126450631 252901262 379351893 505802524 632253155 758703786 885154417 1011605048 1264506310 1517407572 1770308834 1896759465 2023210096 2529012620 2655463251 3034815144 3540617668 3793518930 4425772085 5058025240 5310926502 6069630288 7081235336 7587037860 8851544170 10116050480 10621853004 13277316255 14162470672 15174075720 17703088340 21243706008 26554632510 30348151440 35406176680 42487412016 53109265020 70812353360 106218530040 212437060080