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133346801472 = 2632939676037
BaseRepresentation
bin111110000110000010…
…1101011011101000000
3110202012011112101010220
41330030011223131000
54141043240121342
6141131512423040
712430313053023
oct1741405533500
9422164471126
10133346801472
115160887a665
1221a156a7a80
13c761392431
14664db891ba
153706aad5ec
hex1f0c16b740

133346801472 has 112 divisors (see below), whose sum is σ = 365131868160. Its totient is φ = 42898286592.

The previous prime is 133346801417. The next prime is 133346801513. The reversal of 133346801472 is 274108643331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22085238 + ... + 22091274.

Almost surely, 2133346801472 is an apocalyptic number.

133346801472 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 133346801472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182565934080).

133346801472 is an abundant number, since it is smaller than the sum of its proper divisors (231785066688).

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

133346801472 is a wasteful number, since it uses less digits than its factorization.

133346801472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10038 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 133346801472 in words is "one hundred thirty-three billion, three hundred forty-six million, eight hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 3967 5568 6037 7934 11901 12074 15868 18111 23802 24148 31736 36222 47604 48296 63472 72444 95208 96592 115043 126944 144888 175073 190416 193184 230086 253888 289776 345129 350146 380832 386368 460172 525219 579552 690258 700292 761664 920344 1050438 1159104 1380516 1400584 1840688 2100876 2761032 2801168 3681376 4201752 5522064 5602336 7362752 8403504 11044128 11204672 16807008 22088256 23948779 33614016 47897558 71846337 95795116 143692674 191590232 287385348 383180464 574770696 694514591 766360928 1149541392 1389029182 1532721856 2083543773 2299082784 2778058364 4167087546 4598165568 5556116728 8334175092 11112233456 16668350184 22224466912 33336700368 44448933824 66673400736 133346801472