Search a number
-
+
12011219896 = 23132310334861
BaseRepresentation
bin10110010111110110…
…01010101110111000
31011000002020012011011
423023323022232320
5144044333014041
65303510043304
7603435453544
oct131373125670
934002205134
1012011219896
115104025315
1223b2649534
131195592710
1481d2dca24
154a4739e81
hex2cbecabb8

12011219896 has 64 divisors (see below), whose sum is σ = 25337632320. Its totient is φ = 5296389120.

The previous prime is 12011219887. The next prime is 12011219897. The reversal of 12011219896 is 69891211021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011219897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2468506 + ... + 2473366.

It is an arithmetic number, because the mean of its divisors is an integer number (395900505).

Almost surely, 212011219896 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 12011219896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12668816160).

12011219896 is an abundant number, since it is smaller than the sum of its proper divisors (13326412424).

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

12011219896 is a wasteful number, since it uses less digits than its factorization.

12011219896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 40.

The spelling of 12011219896 in words is "twelve billion, eleven million, two hundred nineteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1033 1196 2066 2392 4132 4861 8264 9722 13429 19444 23759 26858 38888 47518 53716 63193 95036 107432 111803 126386 190072 223606 252772 308867 447212 505544 617734 894424 1235468 1453439 2470936 2906878 5021413 5813756 10042826 11627512 20085652 40171304 65278369 115492499 130556738 230984998 261113476 461969996 522226952 923939992 1501402487 3002804974 6005609948 12011219896