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31262000016 = 243132310612053
BaseRepresentation
bin11101000111010111…
…000100001110010000
32222200200222010221110
4131013113010032100
51003011033000031
622210033053320
72154462421122
oct350727041620
988620863843
1031262000016
1112292647355
1260856b7240
132c42986980
141727cb7212
15c2e80ec46
hex7475c4390

31262000016 has 160 divisors (see below), whose sum is σ = 90883683072. Its totient is φ = 9187706880.

The previous prime is 31261999963. The next prime is 31262000017. The reversal of 31262000016 is 61000026213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31261999956 and 31262000001.

It is not an unprimeable number, because it can be changed into a prime (31262000017) 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, 15226446 + ... + 15228498.

Almost surely, 231262000016 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 31262000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45441841536).

31262000016 is an abundant number, since it is smaller than the sum of its proper divisors (59621683056).

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

31262000016 is a wasteful number, since it uses less digits than its factorization.

31262000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31262000016 its reverse (61000026213), we get a palindrome (92262026229).

The spelling of 31262000016 in words is "thirty-one billion, two hundred sixty-two million, sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1061 1104 1196 1794 2053 2122 2392 3183 3588 4106 4244 4784 6159 6366 7176 8212 8488 12318 12732 13793 14352 16424 16976 24403 24636 25464 26689 27586 32848 41379 47219 48806 49272 50928 53378 55172 73209 80067 82758 94438 97612 98544 106756 110344 141657 146418 160134 165516 188876 195224 213512 220688 283314 292836 317239 320268 331032 377752 390448 427024 566628 585672 613847 634478 640536 662064 755504 951717 1133256 1171344 1227694 1268956 1281072 1841541 1903434 2178233 2266512 2455388 2537912 3683082 3806868 4356466 4910776 5075824 6534699 7366164 7613736 8712932 9821552 13069398 14732328 15227472 17425864 26138796 28317029 29464656 34851728 50099359 52277592 56634058 84951087 100198718 104555184 113268116 150298077 169902174 200397436 226536232 300596154 339804348 400794872 453072464 601192308 651291667 679608696 801589744 1202384616 1302583334 1359217392 1953875001 2404769232 2605166668 3907750002 5210333336 7815500004 10420666672 15631000008 31262000016