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133104501404 = 2272157227551
BaseRepresentation
bin111101111110110100…
…1011000001010011100
3110201120021121020221022
41323331221120022130
54140044223021104
6141051455223312
712421311410600
oct1737551301234
9421507536838
10133104501404
11514a4025a76
1221968517b38
13c723117704
146629915500
1536e069abbe
hex1efda5829c

133104501404 has 54 divisors (see below), whose sum is σ = 272709503136. Its totient is φ = 56679386400.

The previous prime is 133104501391. The next prime is 133104501433. The reversal of 133104501404 is 404105401331.

It is a happy number.

It is a super-3 number, since 3×1331045014043 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4817429 + ... + 4844979.

It is an arithmetic number, because the mean of its divisors is an integer number (5050175984).

Almost surely, 2133104501404 is an apocalyptic number.

133104501404 is a gapful number since it is divisible by the number (14) 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 133104501404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136354751568).

133104501404 is an abundant number, since it is smaller than the sum of its proper divisors (139605001732).

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

133104501404 is a wasteful number, since it uses less digits than its factorization.

133104501404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27883 (or 27717 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 133104501404 its reverse (404105401331), we get a palindrome (537209902735).

The spelling of 133104501404 in words is "one hundred thirty-three billion, one hundred four million, five hundred one thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 157 196 314 628 1099 2198 4396 7693 15386 24649 27551 30772 49298 55102 98596 110204 172543 192857 345086 385714 690172 771428 1207801 1349999 2415602 2699998 4325507 4831204 5399996 8651014 17302028 30278549 60557098 121114196 211949843 423899686 679104599 847799372 1358209198 2716418396 4753732193 9507464386 19014928772 33276125351 66552250702 133104501404