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13801970448 = 2432717379147
BaseRepresentation
bin11001101101010100…
…10101101100010000
31022121212211202002200
430312222111230100
5211231301023243
610201320043200
7666011545620
oct146652255420
938555752080
1013801970448
115942941752
122812303500
1313bc594726
1494d088880
1555ba67ad3
hex336a95b10

13801970448 has 120 divisors (see below), whose sum is σ = 44400128448. Its totient is φ = 3920576256.

The previous prime is 13801970447. The next prime is 13801970449. The reversal of 13801970448 is 84407910831.

It is a happy number.

13801970448 is a `hidden beast` number, since 13 + 8 + 0 + 197 + 0 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (13801970447) and next prime (13801970449).

It is not an unprimeable number, because it can be changed into a prime (13801970447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134811 + ... + 213957.

Almost surely, 213801970448 is an apocalyptic number.

13801970448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13801970448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22200064224).

13801970448 is an abundant number, since it is smaller than the sum of its proper divisors (30598158000).

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

13801970448 is a wasteful number, since it uses less digits than its factorization.

13801970448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79341 (or 79332 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13801970448 in words is "thirteen billion, eight hundred one million, nine hundred seventy thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 173 252 336 346 504 519 692 1008 1038 1211 1384 1557 2076 2422 2768 3114 3633 4152 4844 6228 7266 8304 9688 10899 12456 14532 19376 21798 24912 29064 43596 58128 79147 87192 158294 174384 237441 316588 474882 554029 633176 712323 949764 1108058 1266352 1424646 1662087 1899528 2216116 2849292 3324174 3799056 4432232 4986261 5698584 6648348 8864464 9972522 11397168 13296696 13692431 19945044 26593392 27384862 39890088 41077293 54769724 79780176 82154586 95847017 109539448 123231879 164309172 191694034 219078896 246463758 287541051 328618344 383388068 492927516 575082102 657236688 766776136 862623153 985855032 1150164204 1533552272 1725246306 1971710064 2300328408 3450492612 4600656816 6900985224 13801970448