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13820238048 = 253353407821
BaseRepresentation
bin11001101111100000…
…00001100011100000
31022200011012211112110
430313300001203200
5211300440104143
610203211355320
7666323041131
oct146760014340
938604184473
1013820238048
115952189441
122818452b40
1313c32bc466
14951681c88
1555d475533
hex337c018e0

13820238048 has 48 divisors (see below), whose sum is σ = 36380984976. Its totient is φ = 4593684480.

The previous prime is 13820238041. The next prime is 13820238049. The reversal of 13820238048 is 84083202831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13820237997 and 13820238015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13820238041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170023 + ... + 237798.

It is an arithmetic number, because the mean of its divisors is an integer number (757937187).

Almost surely, 213820238048 is an apocalyptic number.

It is an amenable number.

13820238048 is an abundant number, since it is smaller than the sum of its proper divisors (22560746928).

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

13820238048 is a wasteful number, since it uses less digits than its factorization.

13820238048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408187 (or 408179 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 13820238048 in words is "thirteen billion, eight hundred twenty million, two hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 353 706 1059 1412 2118 2824 4236 5648 8472 11296 16944 33888 407821 815642 1223463 1631284 2446926 3262568 4893852 6525136 9787704 13050272 19575408 39150816 143960813 287921626 431882439 575843252 863764878 1151686504 1727529756 2303373008 3455059512 4606746016 6910119024 13820238048