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11982114172 = 2271923138239
BaseRepresentation
bin10110010100011000…
…01000110101111100
31010221001110110121101
423022030020311330
5144014410123142
65300550142444
7602633201320
oct131214106574
933831413541
1011982114172
1150996557a6
1223a4951a24
13118c5417b2
148194c3980
154a1ddb0b7
hex2ca308d7c

11982114172 has 72 divisors (see below), whose sum is σ = 26108436480. Its totient is φ = 4707862560.

The previous prime is 11982114139. The next prime is 11982114173. The reversal of 11982114172 is 27141128911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11982114173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294229 + ... + 332467.

Almost surely, 211982114172 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 11982114172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054218240).

11982114172 is an abundant number, since it is smaller than the sum of its proper divisors (14126322308).

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

11982114172 is a wasteful number, since it uses less digits than its factorization.

11982114172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38319 (or 38298 counting only the distinct ones).

The product of its digits is 8064, while the sum is 37.

The spelling of 11982114172 in words is "eleven billion, nine hundred eighty-two million, one hundred fourteen thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 361 434 532 589 722 868 1178 1444 2356 2527 4123 5054 8246 10108 11191 16492 22382 38239 44764 76478 78337 152956 156674 267673 313348 535346 726541 1070692 1185409 1453082 2370818 2906164 4741636 5085787 8297863 10171574 13804279 16595726 20343148 22522771 27608558 33191452 45045542 55217116 90091084 96629953 157659397 193259906 315318794 386519812 427932649 630637588 855865298 1711730596 2995528543 5991057086 11982114172