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604306452042 = 234475911091213
BaseRepresentation
bin10001100101100110111…
…10001010111001001010
32010202211011012111010000
420302303132022321022
534400104422431132
61141340424303430
761442164042536
oct10626336127112
92122734174100
10604306452042
11213315268777
1299151011b76
1344ca7bc8697
142136a1aabc6
1510abce7887c
hex8cb378ae4a

604306452042 has 160 divisors (see below), whose sum is σ = 1408772217600. Its totient is φ = 193473712512.

The previous prime is 604306452019. The next prime is 604306452049. The reversal of 604306452042 is 240254603406.

604306452042 is a `hidden beast` number, since 6 + 0 + 4 + 3 + 0 + 645 + 2 + 0 + 4 + 2 = 666.

604306452042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 604306451988 and 604306452006.

It is not an unprimeable number, because it can be changed into a prime (604306452049) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498191028 + ... + 498192240.

It is an arithmetic number, because the mean of its divisors is an integer number (8804826360).

Almost surely, 2604306452042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 604306452042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704386108800).

604306452042 is an abundant number, since it is smaller than the sum of its proper divisors (804465765558).

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

604306452042 is a wasteful number, since it uses less digits than its factorization.

604306452042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 604306452042 in words is "six hundred four billion, three hundred six million, four hundred fifty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 59 81 94 118 141 162 177 282 354 423 531 846 1062 1109 1213 1269 1593 2218 2426 2538 2773 3186 3327 3639 3807 4779 5546 6654 7278 7614 8319 9558 9981 10917 16638 19962 21834 24957 29943 32751 49914 52123 57011 59886 65431 65502 71567 74871 89829 98253 104246 114022 130862 143134 149742 156369 171033 179658 196293 196506 214701 224613 312738 342066 392586 429402 449226 469107 513099 588879 644103 938214 1026198 1177758 1288206 1345217 1407321 1539297 1766637 1932309 2690434 2814642 3075257 3078594 3363649 3533274 3864618 4035651 4221963 4617891 5299911 5796927 6150514 6727298 8071302 8443926 9225771 9235782 10090947 10599822 11593854 12106953 18451542 20181894 24213906 27677313 30272841 36320859 55354626 60545682 63225199 72641718 79367803 83031939 90818523 108962577 126450398 158735606 166063878 181637046 189675597 217925154 238103409 249095817 272455569 379351194 476206818 498191634 544911138 569026791 714310227 1138053582 1428620454 1707080373 2142930681 3414160746 3730286741 4285861362 5121241119 6428792043 7460573482 10242482238 11190860223 12857584086 22381720446 33572580669 67145161338 100717742007 201435484014 302153226021 604306452042