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127790376740 = 225132571912457
BaseRepresentation
bin111011100000011100…
…1100110011100100100
3110012211221010202100022
41313000321212130210
54043203314023430
6134412303134312
712142523165015
oct1670071463444
9405757122308
10127790376740
114a217377504
12209248a4398
13c087183c50
146283c4500c
1534cdd954e5
hex1dc0e66724

127790376740 has 48 divisors (see below), whose sum is σ = 290127528432. Its totient is φ = 47000518656.

The previous prime is 127790376739. The next prime is 127790376743. The reversal of 127790376740 is 47673097721.

127790376740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17709754084 + 110080622656 = 133078^2 + 331784^2 .

It is a super-2 number, since 2×1277903767402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127790376743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889409 + ... + 1023048.

It is an arithmetic number, because the mean of its divisors is an integer number (6044323509).

Almost surely, 2127790376740 is an apocalyptic number.

127790376740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127790376740 is an abundant number, since it is smaller than the sum of its proper divisors (162337151692).

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

127790376740 is a wasteful number, since it uses less digits than its factorization.

127790376740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912736 (or 1912734 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 53.

The spelling of 127790376740 in words is "one hundred twenty-seven billion, seven hundred ninety million, three hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 257 260 514 1028 1285 2570 3341 5140 6682 13364 16705 33410 66820 1912457 3824914 7649828 9562285 19124570 24861941 38249140 49723882 99447764 124309705 248619410 491501449 497238820 983002898 1966005796 2457507245 4915014490 6389518837 9830028980 12779037674 25558075348 31947594185 63895188370 127790376740