Search a number
-
+
45877510674 = 23310715152583
BaseRepresentation
bin101010101110100000…
…110100001000010010
311101102021122000102000
4222232200310020102
51222424120320144
633024214134430
73212613256302
oct525640641022
9141367560360
1045877510674
1118502727886
128a84351416
134431962328
142313013602
1512d79c6769
hexaae834212

45877510674 has 64 divisors (see below), whose sum is σ = 103586273280. Its totient is φ = 15048968400.

The previous prime is 45877510673. The next prime is 45877510687. The reversal of 45877510674 is 47601577854.

45877510674 is a `hidden beast` number, since 4 + 58 + 7 + 7 + 510 + 6 + 74 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45877510674.

It is not an unprimeable number, because it can be changed into a prime (45877510673) 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, 846187 + ... + 898769.

It is an arithmetic number, because the mean of its divisors is an integer number (1618535520).

Almost surely, 245877510674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45877510674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793136640).

45877510674 is an abundant number, since it is smaller than the sum of its proper divisors (57708762606).

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

45877510674 is a wasteful number, since it uses less digits than its factorization.

45877510674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52852 (or 52846 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 45877510674 in words is "forty-five billion, eight hundred seventy-seven million, five hundred ten thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 107 151 214 302 321 453 642 906 963 1359 1926 2718 2889 4077 5778 8154 16157 32314 48471 52583 96942 105166 145413 157749 290826 315498 436239 473247 872478 946494 1419741 2839482 5626381 7940033 11252762 15880066 16879143 23820099 33758286 47640198 50637429 71460297 101274858 142920594 151912287 214380891 303824574 428761782 849583531 1699167062 2548750593 5097501186 7646251779 15292503558 22938755337 45877510674