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485361405045 = 335111761315181
BaseRepresentation
bin1110001000000011100…
…10110100110001110101
31201101210200010001002000
413010001302310301311
530423010004430140
61010545535205513
750031464605056
oct7040162646165
91641720101060
10485361405045
11177927950440
127a096676899
1336a0044c17a
14196c4dd872d
15c95a90ba30
hex7101cb4c75

485361405045 has 128 divisors (see below), whose sum is σ = 1013020162560. Its totient is φ = 217852416000.

The previous prime is 485361405041. The next prime is 485361405097. The reversal of 485361405045 is 540504163584.

485361405045 is a `hidden beast` number, since 4 + 85 + 3 + 61 + 4 + 0 + 504 + 5 = 666.

It is not a de Polignac number, because 485361405045 - 22 = 485361405041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485361405041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1382355 + ... + 1697535.

It is an arithmetic number, because the mean of its divisors is an integer number (7914220020).

Almost surely, 2485361405045 is an apocalyptic number.

485361405045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

485361405045 is an abundant number, since it is smaller than the sum of its proper divisors (527658757515).

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

485361405045 is a wasteful number, since it uses less digits than its factorization.

485361405045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315284 (or 315278 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 485361405045 in words is "four hundred eighty-five billion, three hundred sixty-one million, four hundred five thousand, forty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 61 85 99 135 153 165 183 187 255 297 305 459 495 549 561 671 765 915 935 1037 1485 1647 1683 2013 2295 2745 2805 3111 3355 5049 5185 6039 8235 8415 9333 10065 11407 15555 18117 25245 27999 30195 34221 46665 57035 90585 102663 139995 171105 307989 315181 513315 945543 1539945 1575905 2836629 3466991 4727715 5358077 8509887 10400973 14183145 16074231 17334955 19226041 26790385 31202919 42549435 48222693 52004865 57678123 58938847 80371155 93608757 96130205 144668079 156014595 173034369 176816541 211486451 241113465 288390615 294694235 326842697 468043785 519103107 530449623 634459353 723340395 865171845 884082705 980528091 1057432255 1591348869 1634213485 1903378059 2595515535 2652248115 2941584273 3172296765 3595269667 4902640455 5710134177 7956744345 8824752819 9516890295 10785809001 14707921365 17976348335 28550670885 32357427003 44123764095 53929045005 97072281009 161787135015 485361405045