Search a number
-
+
5665154040 = 2333571359977
BaseRepresentation
bin1010100011010101…
…10110001111111000
3112121210222122101000
411101222312033320
543100234412130
62334051525000
7260250005040
oct52152661770
915553878330
105665154040
112447917097
1211212b9760
136c38ba370
143ba568720
15232544260
hex151ab63f8

5665154040 has 512 divisors, whose sum is σ = 23659776000. Its totient is φ = 1173823488.

The previous prime is 5665154021. The next prime is 5665154051. The reversal of 5665154040 is 404515665.

5665154040 is a `hidden beast` number, since 5 + 66 + 51 + 540 + 4 + 0 = 666.

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 = 5665153986 and 5665154004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5798032 + ... + 5799008.

It is an arithmetic number, because the mean of its divisors is an integer number (46210500).

Almost surely, 25665154040 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 5665154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829888000).

5665154040 is an abundant number, since it is smaller than the sum of its proper divisors (17994621960).

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

5665154040 is a wasteful number, since it uses less digits than its factorization.

5665154040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5665154040 is about 75267.2175651525. The cubic root of 5665154040 is about 1782.6684338383.

The spelling of 5665154040 in words is "five billion, six hundred sixty-five million, one hundred fifty-four thousand, forty".