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31681015950 = 2352349605177
BaseRepresentation
bin11101100000010101…
…011111000010001110
310000202220102100202010
4131200111133002032
51004340320002300
622315402042050
72201041122663
oct354025370216
9100686370663
1031681015950
1112488120211
126181aa9326
132cab7257ac
1417677cba6a
15c564cca50
hex76055f08e

31681015950 has 48 divisors (see below), whose sum is σ = 78794175600. Its totient is φ = 8424049920.

The previous prime is 31681015939. The next prime is 31681015963. The reversal of 31681015950 is 5951018613.

It is a junction number, because it is equal to n+sod(n) for n = 31681015899 and 31681015908.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 250239 + ... + 354938.

It is an arithmetic number, because the mean of its divisors is an integer number (1641545325).

Almost surely, 231681015950 is an apocalyptic number.

31681015950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31681015950 is an abundant number, since it is smaller than the sum of its proper divisors (47113159650).

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

31681015950 is a wasteful number, since it uses less digits than its factorization.

31681015950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605541 (or 605536 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 31681015950 in words is "thirty-one billion, six hundred eighty-one million, fifteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 349 698 1047 1745 2094 3490 5235 8725 10470 17450 26175 52350 605177 1210354 1815531 3025885 3631062 6051770 9077655 15129425 18155310 30258850 45388275 90776550 211206773 422413546 633620319 1056033865 1267240638 2112067730 3168101595 5280169325 6336203190 10560338650 15840507975 31681015950