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126665712480 = 2535809326189
BaseRepresentation
bin111010111110111011…
…1010110001101100000
3110002221112212220000110
41311331313112031200
54033402410244410
6134104525451320
712102615535326
oct1657567261540
9402845786013
10126665712480
114979a54660a
1220670110b40
13bc38178b38
1461b8725d16
15346528b720
hex1d7ddd6360

126665712480 has 96 divisors (see below), whose sum is σ = 399491416800. Its totient is φ = 33735667712.

The previous prime is 126665712451. The next prime is 126665712491. The reversal of 126665712480 is 84217566621.

126665712480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 225226 + ... + 551414.

It is an arithmetic number, because the mean of its divisors is an integer number (4161368925).

Almost surely, 2126665712480 is an apocalyptic number.

126665712480 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 126665712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199745708400).

126665712480 is an abundant number, since it is smaller than the sum of its proper divisors (272825704320).

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

126665712480 is a wasteful number, since it uses less digits than its factorization.

126665712480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327016 (or 327008 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 126665712480 in words is "one hundred twenty-six billion, six hundred sixty-five million, seven hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 809 1618 2427 3236 4045 4854 6472 8090 9708 12135 12944 16180 19416 24270 25888 32360 38832 48540 64720 77664 97080 129440 194160 326189 388320 652378 978567 1304756 1630945 1957134 2609512 3261890 3914268 4892835 5219024 6523780 7828536 9785670 10438048 13047560 15657072 19571340 26095120 31314144 39142680 52190240 78285360 156570720 263886901 527773802 791660703 1055547604 1319434505 1583321406 2111095208 2638869010 3166642812 3958303515 4222190416 5277738020 6333285624 7916607030 8444380832 10555476040 12666571248 15833214060 21110952080 25333142496 31666428120 42221904160 63332856240 126665712480