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31838423868 = 223323310131249
BaseRepresentation
bin11101101001101101…
…111100101100111100
310001011212121111211000
4131221231330230330
51010201114030433
622343143530300
72204662065126
oct355155745474
9101155544730
1031838423868
1112558a620a9
126206759990
133005219484
141780684216
15c65222113
hex769b7cb3c

31838423868 has 96 divisors (see below), whose sum is σ = 83046600000. Its totient is φ = 10548375552.

The previous prime is 31838423863. The next prime is 31838423873. The reversal of 31838423868 is 86832483813.

31838423868 is a `hidden beast` number, since 3 + 183 + 84 + 2 + 386 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (31838423863) and next prime (31838423873).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31838423863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25490508 + ... + 25491756.

It is an arithmetic number, because the mean of its divisors is an integer number (865068750).

Almost surely, 231838423868 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 31838423868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41523300000).

31838423868 is an abundant number, since it is smaller than the sum of its proper divisors (51208176132).

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

31838423868 is a wasteful number, since it uses less digits than its factorization.

31838423868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2500 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 31838423868 in words is "thirty-one billion, eight hundred thirty-eight million, four hundred twenty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 466 699 932 1013 1249 1398 2026 2097 2498 2796 3039 3747 4052 4194 4996 6078 6291 7494 8388 9117 11241 12156 12582 14988 18234 22482 25164 27351 33723 36468 44964 54702 67446 109404 134892 236029 291017 472058 582034 708087 873051 944116 1164068 1265237 1416174 1746102 2124261 2530474 2619153 2832348 3492204 3795711 4248522 5060948 5238306 6372783 7591422 7857459 8497044 10476612 11387133 12745566 15182844 15714918 22774266 25491132 31429836 34161399 45548532 68322798 136645596 294800221 589600442 884400663 1179200884 1768801326 2653201989 3537602652 5306403978 7959605967 10612807956 15919211934 31838423868