Search a number
-
+
31368680772 = 2231113172431471
BaseRepresentation
bin11101001101101110…
…000001010101000100
32222222010201002102120
4131031232001111010
51003220340241042
622224403405540
72160226246542
oct351556012504
988863632376
1031368680772
1112337891170
1260b53838b0
132c5bac9290
141738126d92
15c38d83dec
hex74db81544

31368680772 has 288 divisors, whose sum is σ = 93533282304. Its totient is φ = 8060774400.

The previous prime is 31368680747. The next prime is 31368680813. The reversal of 31368680772 is 27708686313.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21323997 + ... + 21325467.

Almost surely, 231368680772 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 31368680772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46766641152).

31368680772 is an abundant number, since it is smaller than the sum of its proper divisors (62164601532).

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

31368680772 is a wasteful number, since it uses less digits than its factorization.

31368680772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 31368680772 in words is "thirty-one billion, three hundred sixty-eight million, six hundred eighty thousand, seven hundred seventy-two".