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235050133644 = 223223733387281
BaseRepresentation
bin1101101011101000010…
…1000110100010001100
3211110201001021221212100
43122322011012202030
512322340313234034
6255551444035100
722660522112364
oct3327205064214
9743631257770
10235050133644
11907587443a7
1239679992a90
131921ba47021
14b53b11b9a4
1561aa609099
hex36ba14688c

235050133644 has 72 divisors (see below), whose sum is σ = 620834733792. Its totient is φ = 74841085440.

The previous prime is 235050133579. The next prime is 235050133651. The reversal of 235050133644 is 446331050532.

235050133644 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 5 + 0 + 1 + 3 + 3 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 235050133599 and 235050133608.

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 23 ways as a sum of consecutive naturals, for example, 413284 + ... + 800564.

It is an arithmetic number, because the mean of its divisors is an integer number (8622704636).

Almost surely, 2235050133644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235050133644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310417366896).

235050133644 is an abundant number, since it is smaller than the sum of its proper divisors (385784600148).

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

235050133644 is a wasteful number, since it uses less digits than its factorization.

235050133644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388047 (or 388042 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 235050133644 in words is "two hundred thirty-five billion, fifty million, one hundred thirty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 733 828 1466 2199 2932 4398 6597 8796 13194 16859 26388 33718 50577 67436 101154 151731 202308 303462 387281 606924 774562 1161843 1549124 2323686 3485529 4647372 6971058 8907463 13942116 17814926 26722389 35629852 53444778 80167167 106889556 160334334 283876973 320668668 567753946 851630919 1135507892 1703261838 2554892757 3406523676 5109785514 6529170379 10219571028 13058340758 19587511137 26116681516 39175022274 58762533411 78350044548 117525066822 235050133644