Search a number
-
+
215033749056 = 2633729613009
BaseRepresentation
bin1100100001000100000…
…0101001111001000000
3202120001001221021012000
43020101000221321000
512010342114432211
6242441331304000
721351510465120
oct3102100517100
9676031837160
10215033749056
1183216a443a5
123581244b000
131737bb53789
14a59c9acc80
1558d8203656
hex3211029e40

215033749056 has 224 divisors, whose sum is σ = 747381792000. Its totient is φ = 59319558144.

The previous prime is 215033748983. The next prime is 215033749057. The reversal of 215033749056 is 650947330512.

215033749056 is a `hidden beast` number, since 2 + 1 + 503 + 3 + 7 + 4 + 90 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2150337490562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (215033749057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44280 + ... + 657288.

Almost surely, 2215033749056 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 215033749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373690896000).

215033749056 is an abundant number, since it is smaller than the sum of its proper divisors (532348042944).

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

215033749056 is a wasteful number, since it uses less digits than its factorization.

215033749056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613066 (or 613050 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 215033749056 in words is "two hundred fifteen billion, thirty-three million, seven hundred forty-nine thousand, fifty-six".