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126164298760 = 23579330712073
BaseRepresentation
bin111010101111111111…
…0100110110000001000
3110001122121101102200221
41311133332212300020
54031341030030020
6133543054435424
712054316562623
oct1653776466010
9401577342627
10126164298760
1149562504005
1220550202b74
13bb8831a426
14616bcc2dba
1534362446aa
hex1d5ffa6c08

126164298760 has 64 divisors (see below), whose sum is σ = 287573702400. Its totient is φ = 49807719936.

The previous prime is 126164298727. The next prime is 126164298761. The reversal of 126164298760 is 67892461621.

It is a junction number, because it is equal to n+sod(n) for n = 126164298698 and 126164298707.

It is not an unprimeable number, because it can be changed into a prime (126164298761) 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, 10444084 + ... + 10456156.

It is an arithmetic number, because the mean of its divisors is an integer number (4493339100).

Almost surely, 2126164298760 is an apocalyptic number.

126164298760 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 126164298760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143786851200).

126164298760 is an abundant number, since it is smaller than the sum of its proper divisors (161409403640).

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

126164298760 is a wasteful number, since it uses less digits than its factorization.

126164298760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15470 (or 15466 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 126164298760 in words is "one hundred twenty-six billion, one hundred sixty-four million, two hundred ninety-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 3307 6614 12073 13228 16535 24146 26456 33070 48292 60365 66140 96584 120730 132280 241460 261253 482920 522506 953767 1045012 1306265 1907534 2090024 2612530 3815068 4768835 5225060 7630136 9537670 10450120 19075340 38150680 39925411 79850822 159701644 199627055 319403288 399254110 798508220 1597016440 3154107469 6308214938 12616429876 15770537345 25232859752 31541074690 63082149380 126164298760