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355112356500 = 223353115940531
BaseRepresentation
bin1010010101011100101…
…10001000101010010100
31020221121101112211002000
411022232112020222110
521304232230402000
6431045242115300
734441005140466
oct5125626105224
91227541484060
10355112356500
11127669738470
12589a64abb30
1327643aa9045
141328a820136
159385ca1000
hex52ae588a94

355112356500 has 384 divisors, whose sum is σ = 1274715187200. Its totient is φ = 84626640000.

The previous prime is 355112356493. The next prime is 355112356507. The reversal of 355112356500 is 5653211553.

355112356500 is a `hidden beast` number, since 3 + 5 + 5 + 112 + 35 + 6 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (355112356493) and next prime (355112356507).

It is a super-2 number, since 2×3551123565002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355112356507) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 8741235 + ... + 8781765.

It is an arithmetic number, because the mean of its divisors is an integer number (3319570800).

Almost surely, 2355112356500 is an apocalyptic number.

355112356500 is a gapful number since it is divisible by the number (30) 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 355112356500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637357593600).

355112356500 is an abundant number, since it is smaller than the sum of its proper divisors (919602830700).

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

355112356500 is a wasteful number, since it uses less digits than its factorization.

355112356500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40629 (or 40611 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 355112356500 in words is "three hundred fifty-five billion, one hundred twelve million, three hundred fifty-six thousand, five hundred".