Search a number
-
+
11969121920 = 27572671679
BaseRepresentation
bin10110010010110101…
…00100111010000000
31010220011000101120212
423021122210322000
5144003043400140
65255403453252
7602414600120
oct131132447200
933804011525
1011969121920
1150922914a8
1223a0527228
131189942c82
148178a0c80
154a0bc1765
hex2c96a4e80

11969121920 has 64 divisors (see below), whose sum is σ = 32701363200. Its totient is φ = 4103697408.

The previous prime is 11969121887. The next prime is 11969121973. The reversal of 11969121920 is 2912196911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331360 + ... + 1340319.

It is an arithmetic number, because the mean of its divisors is an integer number (510958800).

Almost surely, 211969121920 is an apocalyptic number.

11969121920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11969121920 is an abundant number, since it is smaller than the sum of its proper divisors (20732241280).

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

11969121920 is an equidigital number, since it uses as much as digits as its factorization.

11969121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671705 (or 2671693 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 41.

The spelling of 11969121920 in words is "eleven billion, nine hundred sixty-nine million, one hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 2671679 5343358 10686716 13358395 18701753 21373432 26716790 37403506 42746864 53433580 74807012 85493728 93508765 106867160 149614024 170987456 187017530 213734320 299228048 341974912 374035060 427468640 598456096 748070120 854937280 1196912192 1496140240 1709874560 2393824384 2992280480 5984560960 11969121920