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212157261626672 = 24174014314513021
BaseRepresentation
bin110000001111010010110110…
…001101110011110100110000
31000211012000222100012112100102
4300033102312031303310300
5210301441032434023142
62031115411150011532
762454566502155525
oct6017226615636460
91024160870175312
10212157261626672
116166643129495a
121b9655b97a6ba8
13914c4617b761b
143a5667557514c
15197da6d337532
hexc0f4b6373d30

212157261626672 has 80 divisors (see below), whose sum is σ = 437332194555264. Its totient is φ = 99358648320000.

The previous prime is 212157261626669. The next prime is 212157261626707. The reversal of 212157261626672 is 276626162751212.

212157261626672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 44753522 + ... + 49266542.

Almost surely, 2212157261626672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212157261626672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218666097277632).

212157261626672 is an abundant number, since it is smaller than the sum of its proper divisors (225174932928592).

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

212157261626672 is a wasteful number, since it uses less digits than its factorization.

212157261626672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513878 (or 4513872 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 56.

The spelling of 212157261626672 in words is "two hundred twelve trillion, one hundred fifty-seven billion, two hundred sixty-one million, six hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 401 431 802 862 1604 1724 3208 3448 6416 6817 6896 7327 13634 14654 27268 29308 54536 58616 109072 117232 172831 345662 691324 1382648 2765296 2938127 4513021 5876254 9026042 11752508 18052084 23505016 36104168 47010032 72208336 76721357 153442714 306885428 613770856 1227541712 1809721421 1945112051 3619442842 3890224102 7238885684 7780448204 14477771368 15560896408 28955542736 30765264157 31121792816 33066904867 61530528314 66133809734 123061056628 132267619468 246122113256 264535238936 492244226512 529070477872 779989932451 1559979864902 3119959729804 6239919459608 12479838919216 13259828851667 26519657703334 53039315406668 106078630813336 212157261626672