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2156246406 = 238732251
BaseRepresentation
bin1000000010000101…
…1011010110000110
312120021100200000000
42000201123112012
513403444341111
6553543502130
7104301535446
oct20041332606
95507320000
102156246406
11a07165926
12502157946
13284952462
1416652c126
15c9477c56
hex8085b586

2156246406 has 72 divisors (see below), whose sum is σ = 4919948904. Its totient is φ = 708588000.

The previous prime is 2156246381. The next prime is 2156246413. The reversal of 2156246406 is 6046426512.

2156246406 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 2 + 4 + 640 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 956781 + ... + 959031.

Almost surely, 22156246406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2156246406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459974452).

2156246406 is an abundant number, since it is smaller than the sum of its proper divisors (2763702498).

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

2156246406 is an frugal number, since it uses more digits than its factorization.

2156246406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2156246406 is about 46435.4003536095. The cubic root of 2156246406 is about 1291.9115953115.

The spelling of 2156246406 in words is "two billion, one hundred fifty-six million, two hundred forty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 729 1314 1458 1971 2187 2251 3942 4374 4502 5913 6561 6753 11826 13122 13506 17739 20259 35478 40518 53217 60777 106434 121554 159651 164323 182331 319302 328646 364662 478953 492969 546993 957906 985938 1093986 1478907 1640979 2957814 3281958 4436721 4922937 8873442 9845874 13310163 14768811 26620326 29537622 39930489 79860978 119791467 239582934 359374401 718748802 1078123203 2156246406