Search a number
-
+
36369056640 = 2735725110781
BaseRepresentation
bin100001110111110000…
…111100001110000000
310110212121210111120210
4201313300330032000
51043440434303030
624412511034120
72425154611050
oct416760741600
9113777714523
1036369056640
1114473425604
12706bb0b940
133577a59c77
141a90285560
15e2cd61bb0
hex877c3c380

36369056640 has 256 divisors, whose sum is σ = 133027453440. Its totient is φ = 8279040000.

The previous prime is 36369056627. The next prime is 36369056657. The reversal of 36369056640 is 4665096363.

It is a super-4 number, since 4×363690566404 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36369056640.

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, 3368050 + ... + 3378830.

It is an arithmetic number, because the mean of its divisors is an integer number (519638490).

Almost surely, 236369056640 is an apocalyptic number.

36369056640 is a gapful number since it is divisible by the number (30) 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 36369056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66513726720).

36369056640 is an abundant number, since it is smaller than the sum of its proper divisors (96658396800).

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

36369056640 is a wasteful number, since it uses less digits than its factorization.

36369056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11061 (or 11049 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 36369056640 in words is "thirty-six billion, three hundred sixty-nine million, fifty-six thousand, six hundred forty".