Search a number
-
+
20946116208 = 24331103313627
BaseRepresentation
bin10011100000011111…
…000101111001110000
32000001202210221200210
4103200133011321300
5320344201204313
613342243544120
71341031023123
oct234037057160
960052727623
1020946116208
11897959a146
12408698b040
131c8a6c9a04
141029c083ba
15828d569c3
hex4e07c5e70

20946116208 has 80 divisors (see below), whose sum is σ = 55914484736. Its totient is φ = 6749775360.

The previous prime is 20946116197. The next prime is 20946116263. The reversal of 20946116208 is 80261164902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1530291 + ... + 1543917.

Almost surely, 220946116208 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 20946116208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27957242368).

20946116208 is an abundant number, since it is smaller than the sum of its proper divisors (34968368528).

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

20946116208 is a wasteful number, since it uses less digits than its factorization.

20946116208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14702 (or 14696 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 20946116208 in words is "twenty billion, nine hundred forty-six million, one hundred sixteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1033 1488 2066 3099 4132 6198 8264 12396 13627 16528 24792 27254 32023 40881 49584 54508 64046 81762 96069 109016 128092 163524 192138 218032 256184 327048 384276 422437 512368 654096 768552 844874 1267311 1537104 1689748 2534622 3379496 5069244 6758992 10138488 14076691 20276976 28153382 42230073 56306764 84460146 112613528 168920292 225227056 337840584 436377421 675681168 872754842 1309132263 1745509684 2618264526 3491019368 5236529052 6982038736 10473058104 20946116208