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54313355331345 = 35111751473762007
BaseRepresentation
bin11000101100101110100000…
…10000000100011100010001
321010022022021010012010020210
430112113100100010130101
524104332222431100340
6311303113323354333
714304003401664645
oct1426272020043421
9233268233163223
1054313355331345
111634018a158080
1261123609829a9
13243c95c220a26
14d5aacd6acc25
15642c35a19180
hex3165d0404711

54313355331345 has 64 divisors (see below), whose sum is σ = 100397580281856. Its totient is φ = 24779882081280.

The previous prime is 54313355331307. The next prime is 54313355331383.

It is a happy number.

54313355331345 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54313355331307) and next prime (54313355331383).

It is not a de Polignac number, because 54313355331345 - 211 = 54313355329297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54313355331294 and 54313355331303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12556332 + ... + 16318338.

It is an arithmetic number, because the mean of its divisors is an integer number (1568712191904).

Almost surely, 254313355331345 is an apocalyptic number.

54313355331345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54313355331345 is a deficient number, since it is larger than the sum of its proper divisors (46084224950511).

54313355331345 is a wasteful number, since it uses less digits than its factorization.

54313355331345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767190.

The product of its digits is 7290000, while the sum is 48.

The spelling of 54313355331345 in words is "fifty-four trillion, three hundred thirteen billion, three hundred fifty-five million, three hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 5147 15441 25735 56617 77205 87499 169851 262497 283085 437495 849255 962489 1312485 2887467 3762007 4812445 11286021 14437335 18810035 41382077 56430105 63954119 124146231 191862357 206910385 319770595 620731155 703495309 959311785 2110485927 3517476545 10552429635 19363050029 58089150087 96815250145 212993550319 290445750435 329171850493 638980650957 987515551479 1064967751595 1645859252465 3194903254785 3620890355423 4937577757395 10862671066269 18104451777115 54313355331345