Search a number
-
+
545206607334 = 232173177374353
BaseRepresentation
bin1111110111100001101…
…10001001110111100110
31221010021101102022021200
413323300312021313212
532413040342413314
61054244153423330
754250504461354
oct7736066116746
91833241368250
10545206607334
111a0247a09704
12897b870ab46
133c549aba77c
141c5610b47d4
15e2ae783709
hex7ef0d89de6

545206607334 has 96 divisors (see below), whose sum is σ = 1292803110144. Its totient is φ = 165311262720.

The previous prime is 545206607333. The next prime is 545206607353. The reversal of 545206607334 is 433706602545.

545206607334 is a `hidden beast` number, since 5 + 4 + 5 + 2 + 0 + 6 + 607 + 3 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 545206607334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545206607333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7295502 + ... + 7369854.

It is an arithmetic number, because the mean of its divisors is an integer number (13466699064).

Almost surely, 2545206607334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545206607334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646401555072).

545206607334 is an abundant number, since it is smaller than the sum of its proper divisors (747596502810).

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

545206607334 is a wasteful number, since it uses less digits than its factorization.

545206607334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75182 (or 75179 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 545206607334 in words is "five hundred forty-five billion, two hundred six million, six hundred seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 773 1054 1546 1581 2319 3162 4638 4743 6957 9486 13141 13914 23963 26282 39423 47926 71889 74353 78846 118269 143778 148706 215667 223059 236538 407371 431334 446118 669177 814742 1222113 1264001 1338354 2304943 2444226 2528002 3666339 3792003 4609886 6914829 7332678 7584006 11376009 13829658 20744487 22752018 39184031 41488974 57474869 78368062 114949738 117552093 172424607 235104186 344849214 352656279 517273821 705312558 977072773 1034547642 1781720939 1954145546 2931218319 3563441878 5345162817 5862436638 8793654957 10690325634 16035488451 17587309914 30289255963 32070976902 60578511926 90867767889 181735535778 272603303667 545206607334