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137873727744 = 283672679449
BaseRepresentation
bin1000000001100111101…
…0100010000100000000
3111011212122202001112220
42000121322202010000
54224331133241434
6143201024251040
712650432230554
oct2003172420400
9434778661486
10137873727744
1153521141345
1222879770a80
1310003205b2c
14695d0a3864
1538be219d49
hex2019ea2100

137873727744 has 72 divisors (see below), whose sum is σ = 372422114400. Its totient is φ = 45271953408.

The previous prime is 137873727703. The next prime is 137873727749. The reversal of 137873727744 is 447727378731.

It is not an unprimeable number, because it can be changed into a prime (137873727749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1288269 + ... + 1391180.

Almost surely, 2137873727744 is an apocalyptic number.

It is an amenable number.

137873727744 is an abundant number, since it is smaller than the sum of its proper divisors (234548386656).

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

137873727744 is an equidigital number, since it uses as much as digits as its factorization.

137873727744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679535 (or 2679521 counting only the distinct ones).

The product of its digits is 38723328, while the sum is 60.

The spelling of 137873727744 in words is "one hundred thirty-seven billion, eight hundred seventy-three million, seven hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 1072 1608 2144 3216 4288 6432 8576 12864 17152 25728 51456 2679449 5358898 8038347 10717796 16076694 21435592 32153388 42871184 64306776 85742368 128613552 171484736 179523083 257227104 342969472 359046166 514454208 538569249 685938944 718092332 1028908416 1077138498 1436184664 2057816832 2154276996 2872369328 4308553992 5744738656 8617107984 11489477312 17234215968 22978954624 34468431936 45957909248 68936863872 137873727744