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11319723852696 = 23327215720436551
BaseRepresentation
bin1010010010111001010000…
…0111101000001110011000
31111002011012000111020102100
42210232110013220032120
52440430243301241241
640024113115203400
72245552211116500
oct244562407501630
944064160436370
1011319723852696
113674739012716
121329a08746560
136415a36616cc
142b1c40038a00
151496ba7379b6
hexa4b941e8398

11319723852696 has 144 divisors (see below), whose sum is σ = 35890059525840. Its totient is φ = 3213606614400.

The previous prime is 11319723852659. The next prime is 11319723852721. The reversal of 11319723852696 is 69625832791311.

11319723852696 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 9 + 72 + 38 + 526 + 9 + 6 = 666.

It is a super-2 number, since 2×113197238526962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9664380 + ... + 10772171.

It is an arithmetic number, because the mean of its divisors is an integer number (249236524485).

Almost surely, 211319723852696 is an apocalyptic number.

It is an amenable number.

11319723852696 is an abundant number, since it is smaller than the sum of its proper divisors (24570335673144).

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

11319723852696 is a wasteful number, since it uses less digits than its factorization.

11319723852696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20436734 (or 20436720 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 11319723852696 in words is "eleven trillion, three hundred nineteen billion, seven hundred twenty-three million, eight hundred fifty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 157 168 196 252 294 314 392 441 471 504 588 628 882 942 1099 1176 1256 1413 1764 1884 2198 2826 3297 3528 3768 4396 5652 6594 7693 8792 9891 11304 13188 15386 19782 23079 26376 30772 39564 46158 61544 69237 79128 92316 138474 184632 276948 553896 20436551 40873102 61309653 81746204 122619306 143055857 163492408 183928959 245238612 286111714 367857918 429167571 490477224 572223428 735715836 858335142 1001390999 1144446856 1287502713 1471431672 1716670284 2002781998 2575005426 3004172997 3208538507 3433340568 4005563996 5150010852 6008345994 6417077014 8011127992 9012518991 9625615521 10300021704 12016691988 12834154028 18025037982 19251231042 22459769549 24033383976 25668308056 28876846563 36050075964 38502462084 44919539098 57753693126 67379308647 72100151928 77004924168 89839078196 115507386252 134758617294 157218386843 179678156392 202137925941 231014772504 269517234588 314436773686 404275851882 471655160529 539034469176 628873547372 808551703764 943310321058 1257747094744 1414965481587 1617103407528 1886620642116 2829930963174 3773241284232 5659861926348 11319723852696