Search a number
-
+
12974211184 = 2411257373769
BaseRepresentation
bin11000001010101001…
…01100000001110000
31020111012021012212011
430011110230001300
5203032344224214
65543230212304
7636340655404
oct140524540160
936435235764
1012974211184
115558670990
122621054094
1312b9c4274c
148b1175104
1550e05aac4
hex30552c070

12974211184 has 80 divisors (see below), whose sum is σ = 27639168480. Its totient is φ = 5851054080.

The previous prime is 12974211179. The next prime is 12974211193. The reversal of 12974211184 is 48111247921.

It is a congruent number.

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, 16871152 + ... + 16871920.

It is an arithmetic number, because the mean of its divisors is an integer number (345489606).

Almost surely, 212974211184 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 12974211184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819584240).

12974211184 is an abundant number, since it is smaller than the sum of its proper divisors (14664957296).

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

12974211184 is a wasteful number, since it uses less digits than its factorization.

12974211184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its digits is 32256, while the sum is 40.

The spelling of 12974211184 in words is "twelve billion, nine hundred seventy-four million, two hundred eleven thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 257 373 514 746 769 1028 1492 1538 2056 2827 2984 3076 4103 4112 5654 5968 6152 8206 8459 11308 12304 16412 16918 22616 32824 33836 45232 65648 67672 95861 135344 191722 197633 286837 383444 395266 573674 766888 790532 1054471 1147348 1533776 1581064 2108942 2173963 2294696 3155207 3162128 4217884 4347926 4589392 6310414 8435768 8695852 12620828 16871536 17391704 25241656 34783408 50483312 73717109 147434218 294868436 589736872 810888199 1179473744 1621776398 3243552796 6487105592 12974211184