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126061650080 = 255979838263
BaseRepresentation
bin111010101100111011…
…1000010000010100000
3110001101110020100011222
41311121313002002200
54031133240300310
6133524550354212
712051632226422
oct1653167020240
9401343210158
10126061650080
114950a573593
122052195b968
13bb6cc8a172
14615c402812
15342c21a055
hex1d59dc20a0

126061650080 has 96 divisors (see below), whose sum is σ = 301233510144. Its totient is φ = 49848016896.

The previous prime is 126061650067. The next prime is 126061650097. The reversal of 126061650080 is 80056160621.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 126061650080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15252029 + ... + 15260291.

It is an arithmetic number, because the mean of its divisors is an integer number (3137849064).

Almost surely, 2126061650080 is an apocalyptic number.

126061650080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126061650080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150616755072).

126061650080 is an abundant number, since it is smaller than the sum of its proper divisors (175171860064).

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

126061650080 is an equidigital number, since it uses as much as digits as its factorization.

126061650080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9358 (or 9350 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 126061650080 in words is "one hundred twenty-six billion, sixty-one million, six hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 983 1552 1940 1966 3104 3880 3932 4915 7760 7864 8263 9830 15520 15728 16526 19660 31456 33052 39320 41315 66104 78640 82630 95351 132208 157280 165260 190702 264416 330520 381404 476755 661040 762808 801511 953510 1322080 1525616 1603022 1907020 3051232 3206044 3814040 4007555 6412088 7628080 8015110 8122529 12824176 15256160 16030220 16245058 25648352 32060440 32490116 40612645 64120880 64980232 81225290 128241760 129960464 162450580 259920928 324901160 649802320 787885313 1299604640 1575770626 3151541252 3939426565 6303082504 7878853130 12606165008 15757706260 25212330016 31515412520 63030825040 126061650080