Search a number
-
+
69730240469904 = 24327232131998237
BaseRepresentation
bin11111101101011010101100…
…01101101001101110010000
3100010220010221100110210010100
433312231112031221232100
533114430013030014104
6404145344044332400
720454562235326560
oct1766552615515620
9303803840423110
1069730240469904
1120244479977513
1279a2230544100
132cba6c2026b91
141330d66a86da0
1580dc9c111139
hex3f6b56369b90

69730240469904 has 360 divisors, whose sum is σ = 234924436498752. Its totient is φ = 18911221655040.

The previous prime is 69730240469891. The next prime is 69730240469957. The reversal of 69730240469904 is 40996404203796.

69730240469904 is a `hidden beast` number, since 69 + 7 + 3 + 0 + 24 + 0 + 469 + 90 + 4 = 666.

It is a super-2 number, since 2×697302404699042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69354274 + ... + 70352510.

Almost surely, 269730240469904 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 69730240469904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117462218249376).

69730240469904 is an abundant number, since it is smaller than the sum of its proper divisors (165194196028848).

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

69730240469904 is a wasteful number, since it uses less digits than its factorization.

69730240469904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998435 (or 998403 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 69730240469904 in words is "sixty-nine trillion, seven hundred thirty billion, two hundred forty million, four hundred sixty-nine thousand, nine hundred four".