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133331897808 = 24321974999419
BaseRepresentation
bin111110000101100110…
…0110100110111010000
3110202011010111012011100
41330023030310313100
54141030431212213
6141130221144400
712430042301064
oct1741314646720
9422133435140
10133331897808
115160042028a
1221a106bb100
13c75b2748b5
14664bbc9aa4
153705617773
hex1f0b334dd0

133331897808 has 120 divisors (see below), whose sum is σ = 375829740000. Its totient is φ = 44125062912.

The previous prime is 133331897807. The next prime is 133331897827. The reversal of 133331897808 is 808798133331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133331897807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14150923 + ... + 14160341.

It is an arithmetic number, because the mean of its divisors is an integer number (3131914500).

Almost surely, 2133331897808 is an apocalyptic number.

133331897808 is a gapful number since it is divisible by the number (18) 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 133331897808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187914870000).

133331897808 is an abundant number, since it is smaller than the sum of its proper divisors (242497842192).

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

133331897808 is a wasteful number, since it uses less digits than its factorization.

133331897808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10120 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 133331897808 in words is "one hundred thirty-three billion, three hundred thirty-one million, eight hundred ninety-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 499 591 788 998 1182 1497 1576 1773 1996 2364 2994 3152 3546 3992 4491 4728 5988 7092 7984 8982 9419 9456 11976 14184 17964 18838 23952 28257 28368 35928 37676 56514 71856 75352 84771 98303 113028 150704 169542 196606 226056 294909 339084 393212 452112 589818 678168 786424 884727 1179636 1356336 1572848 1769454 1855543 2359272 3538908 3711086 4700081 4718544 5566629 7077816 7422172 9400162 11133258 14100243 14155632 14844344 16699887 18800324 22266516 28200486 29688688 33399774 37600648 42300729 44533032 56400972 66799548 75201296 84601458 89066064 112801944 133599096 169202916 225603888 267198192 338405832 676811664 925915957 1851831914 2777747871 3703663828 5555495742 7407327656 8333243613 11110991484 14814655312 16666487226 22221982968 33332974452 44443965936 66665948904 133331897808