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20145356401360 = 24573247254073
BaseRepresentation
bin1001001010010011101001…
…10011111110101011010000
32122022212200112011202201111
410211021310303332223100
510120030142214320420
6110502352102143104
74146311466033451
oct445116463765320
978285615152644
1020145356401360
116467663555863
12231437b121a94
13b319117bc398
144d907d003128
1524e060e5e45a
hex125274cfead0

20145356401360 has 60 divisors (see below), whose sum is σ = 47488359698892. Its totient is φ = 7947756877824.

The previous prime is 20145356401351. The next prime is 20145356401411. The reversal of 20145356401360 is 6310465354102.

It can be written as a sum of positive squares in 6 ways, for example, as 808546252864 + 19336810148496 = 899192^2 + 4397364^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 11 ways as a sum of consecutive naturals, for example, 23200717 + ... + 24053356.

Almost surely, 220145356401360 is an apocalyptic number.

20145356401360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20145356401360 is an abundant number, since it is smaller than the sum of its proper divisors (27343003297532).

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

20145356401360 is an equidigital number, since it uses as much as digits as its factorization.

20145356401360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47254232 (or 47254153 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 20145356401360 in words is "twenty trillion, one hundred forty-five billion, three hundred fifty-six million, four hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5329 5840 10658 21316 26645 42632 53290 85264 106580 213160 426320 47254073 94508146 189016292 236270365 378032584 472540730 756065168 945081460 1890162920 3449547329 3780325840 6899094658 13798189316 17247736645 27596378632 34495473290 55192757264 68990946580 137981893160 251816955017 275963786320 503633910034 1007267820068 1259084775085 2014535640136 2518169550170 4029071280272 5036339100340 10072678200680 20145356401360