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126701394432 = 293251328637
BaseRepresentation
bin111010111111111111…
…1011101101000000000
3110010001001000201110020
41311333333131220000
54033441024110212
6134112242333440
712103531040334
oct1657777355000
9403031021406
10126701394432
11498086a7a28
122068005a280
13bc42690112
1461bd3737c4
153468488d8c
hex1d7ffdda00

126701394432 has 80 divisors (see below), whose sum is σ = 338886247392. Its totient is φ = 42065408000.

The previous prime is 126701394431. The next prime is 126701394551. The reversal of 126701394432 is 234493107621.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (126701394431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 221218 + ... + 549854.

Almost surely, 2126701394432 is an apocalyptic number.

126701394432 is a gapful number since it is divisible by the number (12) 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 126701394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169443123696).

126701394432 is an abundant number, since it is smaller than the sum of its proper divisors (212184852960).

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

126701394432 is an equidigital number, since it uses as much as digits as its factorization.

126701394432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328909 (or 328893 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 126701394432 in words is "one hundred twenty-six billion, seven hundred one million, three hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 256 384 502 512 753 768 1004 1506 1536 2008 3012 4016 6024 8032 12048 16064 24096 32128 48192 64256 96384 128512 192768 328637 385536 657274 985911 1314548 1971822 2629096 3943644 5258192 7887288 10516384 15774576 21032768 31549152 42065536 63098304 82487887 84131072 126196608 164975774 168262144 247463661 252393216 329951548 494927322 504786432 659903096 989854644 1319806192 1979709288 2639612384 3959418576 5279224768 7918837152 10558449536 15837674304 21116899072 31675348608 42233798144 63350697216 126701394432