Search a number
-
+
36404051940 = 22345179111451
BaseRepresentation
bin100001111001110110…
…011011111111100100
310110222001122110010000
4201321312123333210
51044023414130230
624420201101300
72426061223134
oct417166337744
9113861573100
1036404051940
1114491158043
12707b787830
133582090849
141a94b94ac4
15e30e75b60
hex879d9bfe4

36404051940 has 240 divisors, whose sum is σ = 121134714624. Its totient is φ = 9120384000.

The previous prime is 36404051933. The next prime is 36404051947. The reversal of 36404051940 is 4915040463.

36404051940 is a `hidden beast` number, since 3 + 64 + 0 + 40 + 519 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (36404051933) and next prime (36404051947).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36404051895 and 36404051904.

It is not an unprimeable number, because it can be changed into a prime (36404051947) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25088215 + ... + 25089665.

Almost surely, 236404051940 is an apocalyptic number.

36404051940 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 36404051940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60567357312).

36404051940 is an abundant number, since it is smaller than the sum of its proper divisors (84730662684).

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

36404051940 is a wasteful number, since it uses less digits than its factorization.

36404051940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 36404051940 in words is "thirty-six billion, four hundred four million, fifty-one thousand, nine hundred forty".