Search a number
-
+
29387639160 = 23345113167397
BaseRepresentation
bin11011010111101000…
…111100100101111000
32210212002000202020000
4123113220330211320
5440141213423120
621300035033000
72060152545165
oct332750744570
983762022200
1029387639160
11115106132a0
125841a3b760
132a0455c1c9
1415cada506c
15b6eeb8990
hex6d7a3c978

29387639160 has 640 divisors, whose sum is σ = 113175152640. Its totient is φ = 6774451200.

The previous prime is 29387639159. The next prime is 29387639213. The reversal of 29387639160 is 6193678392.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 29387639097 and 29387639106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74024082 + ... + 74024478.

It is an arithmetic number, because the mean of its divisors is an integer number (176836176).

Almost surely, 229387639160 is an apocalyptic number.

29387639160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29387639160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56587576320).

29387639160 is an abundant number, since it is smaller than the sum of its proper divisors (83787513480).

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

29387639160 is a wasteful number, since it uses less digits than its factorization.

29387639160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 29387639160 in words is "twenty-nine billion, three hundred eighty-seven million, six hundred thirty-nine thousand, one hundred sixty".