Search a number
-
+
69135971840 = 2951319313527
BaseRepresentation
bin100000001100011010…
…0110011011000000000
320121110012112021001122
41000120310303120000
52113042302044330
651432143451412
74665153031055
oct1003064633000
9217405467048
1069135971840
11273584a9a11
12114955b6b68
13669a4371a0
1434bbd8102c
151be983c5e5
hex1018d33600

69135971840 has 320 divisors, whose sum is σ = 194027581440. Its totient is φ = 23396843520.

The previous prime is 69135971833. The next prime is 69135971851. The reversal of 69135971840 is 4817953196.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×691359718402 (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 31 ways as a sum of consecutive naturals, for example, 19600157 + ... + 19603683.

It is an arithmetic number, because the mean of its divisors is an integer number (606336192).

Almost surely, 269135971840 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 69135971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97013790720).

69135971840 is an abundant number, since it is smaller than the sum of its proper divisors (124891609600).

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

69135971840 is a wasteful number, since it uses less digits than its factorization.

69135971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 69135971840 in words is "sixty-nine billion, one hundred thirty-five million, nine hundred seventy-one thousand, eight hundred forty".