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13828742370 = 2325523293791
BaseRepresentation
bin11001110000100000…
…11101110011100010
31022200202012220021100
430320100131303202
5211310124223440
610204113535230
7666455241102
oct147020356342
938622186240
1013828742370
115956a67903
12281b274516
1313c4ca92c1
14952857202
1555e0a5230
hex33841dce2

13828742370 has 48 divisors (see below), whose sum is σ = 36023599872. Its totient is φ = 3680601120.

The previous prime is 13828742357. The next prime is 13828742383. The reversal of 13828742370 is 7324782831.

13828742370 is a `hidden beast` number, since 1 + 3 + 82 + 87 + 423 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (13828742357) and next prime (13828742383).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99826 + ... + 193965.

It is an arithmetic number, because the mean of its divisors is an integer number (750491664).

Almost surely, 213828742370 is an apocalyptic number.

13828742370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13828742370 is an abundant number, since it is smaller than the sum of its proper divisors (22194857502).

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

13828742370 is a wasteful number, since it uses less digits than its factorization.

13828742370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294327 (or 294324 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 13828742370 in words is "thirteen billion, eight hundred twenty-eight million, seven hundred forty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 523 1046 1569 2615 3138 4707 5230 7845 9414 15690 23535 47070 293791 587582 881373 1468955 1762746 2644119 2937910 4406865 5288238 8813730 13220595 26441190 153652693 307305386 460958079 768263465 921916158 1382874237 1536526930 2304790395 2765748474 4609580790 6914371185 13828742370