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127874104740 = 223251391351061
BaseRepresentation
bin111011100010111100…
…0111111110110100100
3110020001202200120120100
41313011320333312210
54043341232322430
6134424453504100
712144560645664
oct1670570776644
9406052616510
10127874104740
114a25a6645a8
1220948942030
13c09b61b145
146290ddc1a4
1534d63d3960
hex1dc5e3fda4

127874104740 has 72 divisors (see below), whose sum is σ = 387920260728. Its totient is φ = 34096642560.

The previous prime is 127874104733. The next prime is 127874104763. The reversal of 127874104740 is 47401478721.

It can be written as a sum of positive squares in 4 ways, for example, as 493639524 + 127380465216 = 22218^2 + 356904^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2478810 + ... + 2529870.

It is an arithmetic number, because the mean of its divisors is an integer number (5387781399).

Almost surely, 2127874104740 is an apocalyptic number.

127874104740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127874104740 is an abundant number, since it is smaller than the sum of its proper divisors (260046155988).

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

127874104740 is a wasteful number, since it uses less digits than its factorization.

127874104740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64989 (or 64984 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 127874104740 in words is "one hundred twenty-seven billion, eight hundred seventy-four million, one hundred four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13913 27826 41739 51061 55652 69565 83478 102122 125217 139130 153183 166956 204244 208695 250434 255305 278260 306366 417390 459549 500868 510610 612732 626085 765915 834780 919098 1021220 1252170 1531830 1838196 2297745 2504340 3063660 4595490 9190980 710411693 1420823386 2131235079 2841646772 3552058465 4262470158 6393705237 7104116930 8524940316 10656175395 12787410474 14208233860 21312350790 25574820948 31968526185 42624701580 63937052370 127874104740