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13420761345 = 335793074099
BaseRepresentation
bin11000111111111000…
…01001000100000001
31021122022112022112000
430133330021010001
5204441203330340
610055421254213
7653402406045
oct143774110401
937568468460
1013420761345
115767740702
122726704369
13135b602104
149145b6025
15538366d30
hex31ff09101

13420761345 has 64 divisors (see below), whose sum is σ = 24245760000. Its totient is φ = 7042396608.

The previous prime is 13420761337. The next prime is 13420761373. The reversal of 13420761345 is 54316702431.

13420761345 is a `hidden beast` number, since 1 + 34 + 2 + 0 + 7 + 613 + 4 + 5 = 666.

It is not a de Polignac number, because 13420761345 - 23 = 13420761337 is a prime.

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, 3272106 + ... + 3276204.

It is an arithmetic number, because the mean of its divisors is an integer number (378840000).

Almost surely, 213420761345 is an apocalyptic number.

13420761345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13420761345 is a deficient number, since it is larger than the sum of its proper divisors (10824998655).

13420761345 is a wasteful number, since it uses less digits than its factorization.

13420761345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13420761345 in words is "thirteen billion, four hundred twenty million, seven hundred sixty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 79 135 237 307 395 711 921 1185 1535 2133 2763 3555 4099 4605 8289 10665 12297 13815 20495 24253 36891 41445 61485 72759 110673 121265 184455 218277 323821 363795 553365 654831 971463 1091385 1258393 1619105 2914389 3274155 3775179 4857315 6291965 8743167 11325537 14571945 18875895 33976611 43715835 56627685 99413047 169883055 298239141 497065235 894717423 1491195705 2684152269 4473587115 13420761345