Search a number
-
+
11911314168 = 23331319223259
BaseRepresentation
bin10110001011111100…
…00011101011111000
31010202010020110021000
423011332003223320
5143343244023133
65245540445000
7601113333315
oct130576035370
933663213230
1011911314168
1150626986a6
1223850a9760
13117a982ac0
1480dd33d0c
1549aaa3413
hex2c5f83af8

11911314168 has 128 divisors (see below), whose sum is σ = 37507680000. Its totient is φ = 3472108416.

The previous prime is 11911314167. The next prime is 11911314209. The reversal of 11911314168 is 86141311911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11911314167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58278 + ... + 164981.

It is an arithmetic number, because the mean of its divisors is an integer number (293028750).

Almost surely, 211911314168 is an apocalyptic number.

11911314168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11911314168 is an abundant number, since it is smaller than the sum of its proper divisors (25596365832).

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

11911314168 is a wasteful number, since it uses less digits than its factorization.

11911314168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223306 (or 223296 counting only the distinct ones).

The product of its digits is 5184, while the sum is 36.

The spelling of 11911314168 in words is "eleven billion, nine hundred eleven million, three hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 26676 53352 223259 446518 669777 893036 1339554 1786072 2009331 2679108 2902367 4018662 4241921 5358216 5804734 6027993 8037324 8483842 8707101 11609468 12055986 12725763 16074648 16967684 17414202 23218936 24111972 25451526 26121303 33935368 34828404 38177289 48223944 50903052 52242606 55144973 69656808 76354578 78363909 101806104 104485212 110289946 114531867 152709156 156727818 165434919 208970424 220579892 229063734 305418312 313455636 330869838 441159784 458127468 496304757 626911272 661739676 916254936 992609514 1323479352 1488914271 1985219028 2977828542 3970438056 5955657084 11911314168