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133806350500 = 22531931145289
BaseRepresentation
bin111110010011101111…
…0101110000010100100
3110210101012020212220021
41330213132232002210
54143013411204000
6141245250244524
712444563133064
oct1744736560244
9423335225807
10133806350500
1151824218649
1221b23586744
13c805653634
146694c113a4
1537320d611a
hex1f277ae0a4

133806350500 has 96 divisors (see below), whose sum is σ = 308609683200. Its totient is φ = 50541408000.

The previous prime is 133806350471. The next prime is 133806350521. The reversal of 133806350500 is 5053608331.

133806350500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2931856 + ... + 2977144.

It is an arithmetic number, because the mean of its divisors is an integer number (3214684200).

Almost surely, 2133806350500 is an apocalyptic number.

133806350500 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 133806350500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154304841600).

133806350500 is an abundant number, since it is smaller than the sum of its proper divisors (174803332700).

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

133806350500 is a wasteful number, since it uses less digits than its factorization.

133806350500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45638 (or 45626 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 133806350500 its reverse (5053608331), we get a palindrome (138859958831).

The spelling of 133806350500 in words is "one hundred thirty-three billion, eight hundred six million, three hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 311 380 475 500 622 950 1244 1555 1900 2375 3110 4750 5909 6220 7775 9500 11818 15550 23636 29545 31100 38875 45289 59090 77750 90578 118180 147725 155500 181156 226445 295450 452890 590900 738625 860491 905780 1132225 1477250 1720982 2264450 2954500 3441964 4302455 4528900 5661125 8604910 11322250 14084879 17209820 21512275 22644500 28169758 43024550 56339516 70424395 86049100 107561375 140848790 215122750 267612701 281697580 352121975 430245500 535225402 704243950 1070450804 1338063505 1408487900 1760609875 2676127010 3521219750 5352254020 6690317525 7042439500 13380635050 26761270100 33451587625 66903175250 133806350500