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31189425072 = 24313198273181
BaseRepresentation
bin11101000011000010…
…001101101110110000
32222111122101221211120
4131003002031232300
51002333443100242
622154521342240
72152621511301
oct350302155660
988448357746
1031189425072
1112255687763
126065337980
132c30926110
14171c3c47a8
15c282761ec
hex74308dbb0

31189425072 has 160 divisors (see below), whose sum is σ = 91476645120. Its totient is φ = 9077806080.

The previous prime is 31189425061. The next prime is 31189425077. The reversal of 31189425072 is 27052498113.

It is not an unprimeable number, because it can be changed into a prime (31189425077) 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, 9803322 + ... + 9806502.

It is an arithmetic number, because the mean of its divisors is an integer number (571729032).

Almost surely, 231189425072 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 31189425072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45738322560).

31189425072 is an abundant number, since it is smaller than the sum of its proper divisors (60287220048).

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

31189425072 is a wasteful number, since it uses less digits than its factorization.

31189425072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 31189425072 in words is "thirty-one billion, one hundred eighty-nine million, four hundred twenty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 827 912 988 1482 1654 1976 2481 2964 3181 3308 3952 4962 5928 6362 6616 9543 9924 10751 11856 12724 13232 15713 19086 19848 21502 25448 31426 32253 38172 39696 41353 43004 47139 50896 60439 62852 64506 76344 82706 86008 94278 120878 124059 125704 129012 152688 165412 172016 181317 188556 204269 241756 248118 251408 258024 330824 362634 377112 408538 483512 496236 516048 612807 661648 725268 754224 785707 817076 967024 992472 1225614 1450536 1571414 1634152 1984944 2357121 2451228 2630687 2901072 3142828 3268304 4714242 4902456 5261374 6285656 7892061 9428484 9804912 10522748 12571312 15784122 18856968 21045496 31568244 34198931 37713936 42090992 49983053 63136488 68397862 99966106 102596793 126272976 136795724 149949159 199932212 205193586 273591448 299898318 399864424 410387172 547182896 599796636 649779689 799728848 820774344 1199593272 1299559378 1641548688 1949339067 2399186544 2599118756 3898678134 5198237512 7797356268 10396475024 15594712536 31189425072