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2055312180496 = 24232155832
BaseRepresentation
bin11101111010001010001…
…001110000010100010000
321021111010020110202021201
4131322022021300110100
5232133234404233441
64212110345000544
7301330360165351
oct35721211602420
97244106422251
102055312180496
11722720164753
122923bba83154
1311ba79a36963
1471698905d28
15386e3de1c31
hex1de8a270510

2055312180496 has 45 divisors (see below), whose sum is σ = 4163099943639. Its totient is φ = 982912310688.

The previous prime is 2055312180463. The next prime is 2055312180497. The reversal of 2055312180496 is 6940812135502.

The square root of 2055312180496 is 1433636.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2055312180497) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 131886721 + ... + 131902303.

Almost surely, 22055312180496 is an apocalyptic number.

2055312180496 is the 1433636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055312180496

2055312180496 is an abundant number, since it is smaller than the sum of its proper divisors (2107787763143).

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

2055312180496 is an frugal number, since it uses more digits than its factorization.

2055312180496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31220 (or 15608 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

It can be divided in two parts, 20553 and 12180496, that added together give a square (12201049 = 34932).

The spelling of 2055312180496 in words is "two trillion, fifty-five billion, three hundred twelve million, one hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 15583 31166 62332 124664 249328 358409 716818 1433636 2867272 5734544 8243407 16486814 32973628 65947256 131894512 242829889 485659778 971319556 1942639112 3885278224 5585087447 11170174894 22340349788 44680699576 89361399152 128457011281 256914022562 513828045124 1027656090248 2055312180496