Search a number
-
+
11732375172 = 22372174128627
BaseRepresentation
bin10101110110100110…
…11101011010000100
31010021122112102002210
422323103131122010
5143011442001142
65220105303420
7563511354300
oct127323353204
933248472083
1011732375172
114a80690131
122335194b70
13114c890b3b
147d4274d00
1548a00949c
hex2bb4dd684

11732375172 has 144 divisors (see below), whose sum is σ = 34541857728. Its totient is φ = 3077867520.

The previous prime is 11732375167. The next prime is 11732375201. The reversal of 11732375172 is 27157323711.

It is a self number, because there is not a number n which added to its sum of digits gives 11732375172.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395523 + ... + 424149.

It is an arithmetic number, because the mean of its divisors is an integer number (239874012).

Almost surely, 211732375172 is an apocalyptic number.

11732375172 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 11732375172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17270928864).

11732375172 is an abundant number, since it is smaller than the sum of its proper divisors (22809482556).

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

11732375172 is a wasteful number, since it uses less digits than its factorization.

11732375172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28706 (or 28697 counting only the distinct ones).

The product of its digits is 61740, while the sum is 39.

Adding to 11732375172 its reverse (27157323711), we get a palindrome (38889698883).

The spelling of 11732375172 in words is "eleven billion, seven hundred thirty-two million, three hundred seventy-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 41 42 49 51 68 82 84 98 102 119 123 147 164 196 204 238 246 287 294 357 476 492 574 588 697 714 833 861 1148 1394 1428 1666 1722 2009 2091 2499 2788 3332 3444 4018 4182 4879 4998 6027 8036 8364 9758 9996 12054 14637 19516 24108 28627 29274 34153 57254 58548 68306 85881 102459 114508 136612 171762 200389 204918 343524 400778 409836 486659 601167 801556 973318 1173707 1202334 1402723 1459977 1946636 2347414 2404668 2805446 2919954 3406613 3521121 4208169 4694828 5610892 5839908 6813226 7042242 8215949 8416338 10219839 13626452 14084484 16431898 16832676 19953019 20439678 23846291 24647847 32863796 39906038 40879356 47692582 49295694 57511643 59859057 71538873 79812076 95385164 98591388 115023286 119718114 139671133 143077746 172534929 230046572 239436228 279342266 286155492 345069858 419013399 558684532 690139716 838026798 977697931 1676053596 1955395862 2933093793 3910791724 5866187586 11732375172