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31380566016 = 212317150221
BaseRepresentation
bin11101001110011011…
…010111000000000000
32222222222001220220210
4131032123113000000
51003231411103031
622225510234120
72160432260442
oct351633270000
988888056823
1031380566016
1112343569788
1260b9355940
132c613cac77
14173993c492
15c39e30746
hex74e6d7000

31380566016 has 104 divisors (see below), whose sum is σ = 88593724944. Its totient is φ = 9844817920.

The previous prime is 31380565939. The next prime is 31380566057. The reversal of 31380566016 is 61066508313.

It is a super-2 number, since 2×313805660162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133786 + ... + 284006.

Almost surely, 231380566016 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 31380566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44296862472).

31380566016 is an abundant number, since it is smaller than the sum of its proper divisors (57213158928).

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

31380566016 is a wasteful number, since it uses less digits than its factorization.

31380566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150265 (or 150243 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 31380566016 in words is "thirty-one billion, three hundred eighty million, five hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8704 12288 13056 17408 26112 34816 52224 69632 104448 150221 208896 300442 450663 600884 901326 1201768 1802652 2403536 2553757 3605304 4807072 5107514 7210608 7661271 9614144 10215028 14421216 15322542 19228288 20430056 28842432 30645084 38456576 40860112 57684864 61290168 76913152 81720224 115369728 122580336 153826304 163440448 230739456 245160672 307652608 326880896 461478912 490321344 615305216 653761792 922957824 980642688 1307523584 1845915648 1961285376 2615047168 3922570752 5230094336 7845141504 10460188672 15690283008 31380566016