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127005483640 = 2357538558321
BaseRepresentation
bin111011001001000011…
…1011110001001111000
3110010211020020001102111
41312102013132021320
54040101400434030
6134202344142104
712114212540650
oct1662207361170
9403736201374
10127005483640
1149954314722
1220745a67934
13bc90690269
14620b8cd360
15348500462a
hex1d921de278

127005483640 has 64 divisors (see below), whose sum is σ = 332747559360. Its totient is φ = 42723133440.

The previous prime is 127005483623. The next prime is 127005483667. The reversal of 127005483640 is 46384500721.

It is a super-2 number, since 2×1270054836402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 127005483593 and 127005483602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4264321 + ... + 4294000.

It is an arithmetic number, because the mean of its divisors is an integer number (5199180615).

Almost surely, 2127005483640 is an apocalyptic number.

127005483640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127005483640 is an abundant number, since it is smaller than the sum of its proper divisors (205742075720).

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

127005483640 is a wasteful number, since it uses less digits than its factorization.

127005483640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8558392 (or 8558388 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 127005483640 in words is "one hundred twenty-seven billion, five million, four hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 14840 8558321 17116642 34233284 42791605 59908247 68466568 85583210 119816494 171166420 239632988 299541235 342332840 453591013 479265976 599082470 907182026 1198164940 1814364052 2267955065 2396329880 3175137091 3628728104 4535910130 6350274182 9071820260 12700548364 15875685455 18143640520 25401096728 31751370910 63502741820 127005483640