Search a number
-
+
11975269632 = 283371313217
BaseRepresentation
bin10110010011100100…
…00001110100000000
31010220120120201122220
423021302001310000
5144011132112012
65300143331040
7602521053354
oct131162016400
933816521586
1011975269632
115095800357
1223a25b0a80
13118acb6281
14818621464
154a14d808c
hex2c9c81d00

11975269632 has 144 divisors (see below), whose sum is σ = 32993201472. Its totient is φ = 3853025280.

The previous prime is 11975269609. The next prime is 11975269643. The reversal of 11975269632 is 23696257911.

It is a super-3 number, since 3×119752696323 (a number of 31 digits) contains 333 as substring.

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, 3720888 + ... + 3724104.

Almost surely, 211975269632 is an apocalyptic number.

11975269632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11975269632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16496600736).

11975269632 is an abundant number, since it is smaller than the sum of its proper divisors (21017931840).

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

11975269632 is a wasteful number, since it uses less digits than its factorization.

11975269632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3390 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The spelling of 11975269632 in words is "eleven billion, nine hundred seventy-five million, two hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 131 148 192 222 256 262 296 384 393 444 524 592 768 786 888 1048 1184 1572 1776 2096 2368 3144 3217 3552 4192 4736 4847 6288 6434 7104 8384 9472 9651 9694 12576 12868 14208 14541 16768 19302 19388 25152 25736 28416 29082 33536 38604 38776 50304 51472 58164 77208 77552 100608 102944 116328 119029 154416 155104 205888 232656 238058 308832 310208 357087 411776 421427 465312 476116 617664 620416 714174 823552 842854 930624 952232 1235328 1240832 1264281 1428348 1685708 1861248 1904464 2470656 2528562 2856696 3371416 3722496 3808928 5057124 5713392 6742832 7617856 10114248 11426784 13485664 15235712 15592799 20228496 22853568 26971328 30471424 31185598 40456992 45707136 46778397 53942656 62371196 80913984 91414272 93556794 107885312 124742392 161827968 187113588 249484784 323655936 374227176 498969568 748454352 997939136 1496908704 1995878272 2993817408 3991756544 5987634816 11975269632