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481621768101045 = 3251113199376100993
BaseRepresentation
bin110110110000010000100111…
…0011001110101110010110101
32100011021120222002220201122200
41231200201032121311302311
51001111342340113213140
64424153552534215113
7203306011251343335
oct15540411631656265
92304246862821580
10481621768101045
1112a50671026a780
12460256377b4499
13178979790b2560
1486d08919430c5
153aa314a21e030
hex1b6084e675cb5

481621768101045 has 96 divisors (see below), whose sum is σ = 985685485075200. Its totient is φ = 214467829678080.

The previous prime is 481621768101017. The next prime is 481621768101113. The reversal of 481621768101045 is 540101867126184.

481621768101045 is a `hidden beast` number, since 4 + 8 + 1 + 621 + 7 + 6 + 8 + 1 + 0 + 1 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 481621768101045 - 213 = 481621768092853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 481621768100982 and 481621768101000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186769932 + ... + 189331061.

It is an arithmetic number, because the mean of its divisors is an integer number (10267557136200).

Almost surely, 2481621768101045 is an apocalyptic number.

481621768101045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481621768101045 is an abundant number, since it is smaller than the sum of its proper divisors (504063716974155).

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

481621768101045 is a wasteful number, since it uses less digits than its factorization.

481621768101045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376101227 (or 376101224 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 481621768101045 in words is "four hundred eighty-one trillion, six hundred twenty-one billion, seven hundred sixty-eight million, one hundred one thousand, forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 199 429 495 585 597 715 995 1287 1791 2145 2189 2587 2985 6435 6567 7761 8955 10945 12935 19701 23283 28457 32835 38805 85371 98505 116415 142285 256113 426855 1280565 376100993 1128302979 1880504965 3384908937 4137110923 4889312909 5641514895 12411332769 14667938727 16924544685 20685554615 24446564545 37233998307 44003816181 53782441999 62056663845 73339693635 74844097607 161347325997 186169991535 220019080905 224532292821 268912209995 374220488035 484041977991 673596878463 806736629985 823285073677 972973268891 1122661464105 2420209889955 2469855221031 2918919806673 3367984392315 4116425368385 4864866344455 7409565663093 8756759420019 10702705957801 12349276105155 14594599033365 32108117873403 37047828315465 43783797100095 53513529789005 96324353620209 160540589367015 481621768101045