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4561074742644 = 22357752389107
BaseRepresentation
bin100001001011111010100…
…1111010110010101110100
3121011000221010210210200000
41002113311033112111310
51044212040113231034
613411155004551300
7650345453426610
oct102276517262564
917130833723600
104561074742644
1114a9382870192
12617b72852530
1327115224cc84
1411aa85a5c340
157d99d888599
hex425f53d6574

4561074742644 has 144 divisors (see below), whose sum is σ = 13666424099328. Its totient is φ = 1302976365408.

The previous prime is 4561074742639. The next prime is 4561074742663. The reversal of 4561074742644 is 4462474701654.

It is a happy number.

4561074742644 is a `hidden beast` number, since 4 + 5 + 6 + 107 + 474 + 2 + 64 + 4 = 666.

It is a super-2 number, since 2×45610747426442 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51141939 + ... + 51231045.

It is an arithmetic number, because the mean of its divisors is an integer number (94905722912).

Almost surely, 24561074742644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4561074742644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833212049664).

4561074742644 is an abundant number, since it is smaller than the sum of its proper divisors (9105349356684).

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

4561074742644 is a wasteful number, since it uses less digits than its factorization.

4561074742644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96656 (or 96642 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 4561074742644 in words is "four trillion, five hundred sixty-one billion, seventy-four million, seven hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 7523 15046 22569 30092 45138 52661 67707 89107 90276 105322 135414 157983 178214 203121 210644 267321 270828 315966 356428 406242 473949 534642 609363 623749 631932 801963 812484 947898 1069284 1218726 1247498 1421847 1603926 1828089 1871247 1895796 2405889 2437452 2494996 2843694 3207852 3656178 3742494 4265541 4811778 5613741 5687388 7217667 7312356 7484988 8531082 9623556 11227482 12796623 14435334 16841223 17062164 21653001 22454964 25593246 28870668 33682446 43306002 50523669 51186492 67364892 86612004 101047338 151571007 202094676 303142014 606284028 670351961 1340703922 2011055883 2681407844 4022111766 4692463727 6033167649 8044223532 9384927454 12066335298 14077391181 18099502947 18769854908 24132670596 28154782362 36199005894 42232173543 54298508841 56309564724 72398011788 84464347086 108597017682 126696520629 162895526523 168928694172 217194035364 253393041258 325791053046 380089561887 506786082516 651582106092 760179123774 1140268685661 1520358247548 2280537371322 4561074742644