Search a number
-
+
42577545038634 = 23319137302909357
BaseRepresentation
bin10011010111001010110110…
…11100101000101100101010
312120202101002022122200122000
421223211123130220230222
521040042303012214014
6230315504255511430
711653061154266124
oct1153453334505452
9176671068580560
1042577545038634
11126260431a8641
124937991828576
131a9b0785c1338
14a72a9ac7c214
154dc81651a509
hex26b95b728b2a

42577545038634 has 64 divisors (see below), whose sum is σ = 100323579369600. Its totient is φ = 13347397862784.

The previous prime is 42577545038621. The next prime is 42577545038657. The reversal of 42577545038634 is 43683054577524.

42577545038634 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 7 + 545 + 0 + 3 + 86 + 3 + 4 = 666.

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, 151314117 + ... + 151595240.

It is an arithmetic number, because the mean of its divisors is an integer number (1567555927650).

Almost surely, 242577545038634 is an apocalyptic number.

42577545038634 is an abundant number, since it is smaller than the sum of its proper divisors (57746034330966).

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

42577545038634 is a wasteful number, since it uses less digits than its factorization.

42577545038634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302909524 (or 302909518 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 63.

The spelling of 42577545038634 in words is "forty-two trillion, five hundred seventy-seven billion, five hundred forty-five million, thirty-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 137 171 274 342 411 513 822 1026 1233 2466 2603 3699 5206 7398 7809 15618 23427 46854 70281 140562 302909357 605818714 908728071 1817456142 2726184213 5452368426 5755277783 8178552639 11510555566 16357105278 17265833349 34531666698 41498581909 51797500047 82997163818 103595000094 124495745727 155392500141 248991491454 310785000282 373487237181 746974474362 788473056271 1120461711543 1576946112542 2240923423086 2365419168813 4730838337626 7096257506439 14192515012878 21288772519317 42577545038634