Search a number
-
+
36343955648 = 26711132172151
BaseRepresentation
bin100001110110010001…
…001100000011000000
310110210212120020111102
4201312101030003000
51043413023040043
624410213033532
72424431345240
oct416621140300
9113725506442
1036343955648
1114460240890
1270636258a8
1335727abb00
141a8abcdb20
15e2aa546b8
hex87644c0c0

36343955648 has 504 divisors, whose sum is σ = 104113730304. Its totient is φ = 12220416000.

The previous prime is 36343955561. The next prime is 36343955693. The reversal of 36343955648 is 84655934363.

It is a happy number.

It is a super-2 number, since 2×363439556482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 36343955593 and 36343955602.

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, 240688373 + ... + 240688523.

Almost surely, 236343955648 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 36343955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52056865152).

36343955648 is an abundant number, since it is smaller than the sum of its proper divisors (67769774656).

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

36343955648 is a wasteful number, since it uses less digits than its factorization.

36343955648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 201 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 56.

The spelling of 36343955648 in words is "thirty-six billion, three hundred forty-three million, nine hundred fifty-five thousand, six hundred forty-eight".