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23193688644 = 22327436135089
BaseRepresentation
bin10101100110011100…
…111001101001000100
32012212102000110110100
4111212130321221010
5340000041014034
614353253124100
71450522046340
oct254634715104
965772013410
1023193688644
119922261625
1245b3629630
132258246829
1411a050a620
1590b31e099
hex566739a44

23193688644 has 144 divisors (see below), whose sum is σ = 69688178560. Its totient is φ = 6366366720.

The previous prime is 23193688571. The next prime is 23193688649. The reversal of 23193688644 is 44688639132.

23193688644 is a `hidden beast` number, since 231 + 9 + 368 + 8 + 6 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (23193688649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643452 + ... + 678540.

Almost surely, 223193688644 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 23193688644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34844089280).

23193688644 is an abundant number, since it is smaller than the sum of its proper divisors (46494489916).

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

23193688644 is a wasteful number, since it uses less digits than its factorization.

23193688644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35210 (or 35205 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

It can be divided in two parts, 2319 and 3688644, that added together give a palindrome (3690963).

The spelling of 23193688644 in words is "twenty-three billion, one hundred ninety-three million, six hundred eighty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 61 63 84 86 122 126 129 172 183 244 252 258 301 366 387 427 516 549 602 732 774 854 903 1098 1204 1281 1548 1708 1806 2196 2562 2623 2709 3612 3843 5124 5246 5418 7686 7869 10492 10836 15372 15738 18361 23607 31476 35089 36722 47214 55083 70178 73444 94428 105267 110166 140356 165249 210534 220332 245623 315801 330498 421068 491246 631602 660996 736869 982492 1263204 1473738 1508827 2140429 2210607 2947476 3017654 4280858 4421214 4526481 6035308 6421287 8561716 8842428 9052962 10561789 12842574 13579443 14983003 18105924 19263861 21123578 25685148 27158886 29966006 31685367 38527722 42247156 44949009 54317772 59932012 63370734 77055444 89898018 92038447 95056101 126741468 134847027 179796036 184076894 190112202 269694054 276115341 368153788 380224404 539388108 552230682 644269129 828346023 1104461364 1288538258 1656692046 1932807387 2577076516 3313384092 3865614774 5798422161 7731229548 11596844322 23193688644