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20155424351345 = 5293761509120997
BaseRepresentation
bin1001001010100110011001…
…11010001010010001110001
32122100211200011210121200222
410211103030322022101301
510120211302113220340
6110511135113222425
74150116130143353
oct445231472122161
978324604717628
1020155424351345
11647095a660688
12231630aa01a15
13b328575ab23a
144d97561b30d3
1524e44ec908b5
hex1254cce8a471

20155424351345 has 64 divisors (see below), whose sum is σ = 26169544238400. Its totient is φ = 14869846978560.

The previous prime is 20155424351323. The next prime is 20155424351351. The reversal of 20155424351345 is 54315342455102.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 9408593079649 + 10746831271696 = 3067343^2 + 3278236^2 .

It is not a de Polignac number, because 20155424351345 - 216 = 20155424285809 is a prime.

It is a super-2 number, since 2×201554243513452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20155424351296 and 20155424351305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166517387 + ... + 166638383.

It is an arithmetic number, because the mean of its divisors is an integer number (408899128725).

Almost surely, 220155424351345 is an apocalyptic number.

It is an amenable number.

20155424351345 is a deficient number, since it is larger than the sum of its proper divisors (6014119887055).

20155424351345 is a wasteful number, since it uses less digits than its factorization.

20155424351345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121638.

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 20155424351345 in words is "twenty trillion, one hundred fifty-five billion, four hundred twenty-four million, three hundred fifty-one thousand, three hundred forty-five".

Divisors: 1 5 29 37 61 145 185 305 509 1073 1769 2257 2545 5365 8845 11285 14761 18833 31049 65453 73805 94165 120997 155245 327265 546157 604985 900421 1148813 2730785 3508913 4476889 4502105 5744065 7380817 17544565 22384445 33315577 36904085 61587473 129829781 166577885 214043693 273090229 307937365 649148905 1070218465 1365451145 1786036717 2278736501 3756835853 7919616641 8930183585 11393682505 18784179265 39598083205 66083358529 108948239737 139002926561 330416792645 544741198685 695014632805 4031084870269 20155424351345