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356149039860 = 223357149118919
BaseRepresentation
bin1010010111011000010…
…00110001001011110100
31021001021122020210022000
411023230020301023310
521313343123233420
6431340153535300
734505463614115
oct5135410611364
91231248223260
10356149039860
11128050936a79
1259035714530
132777a7bb253
141334839a20c
1593e6ccb690
hex52ec2312f4

356149039860 has 192 divisors, whose sum is σ = 1125973094400. Its totient is φ = 93439785600.

The previous prime is 356149039723. The next prime is 356149039861. The reversal of 356149039860 is 68930941653.

356149039860 is a `hidden beast` number, since 3 + 5 + 6 + 1 + 490 + 3 + 98 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 356149039797 and 356149039806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356149039861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18815481 + ... + 18834399.

It is an arithmetic number, because the mean of its divisors is an integer number (5864443200).

Almost surely, 2356149039860 is an apocalyptic number.

356149039860 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 356149039860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562986547200).

356149039860 is an abundant number, since it is smaller than the sum of its proper divisors (769824054540).

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

356149039860 is a wasteful number, since it uses less digits than its factorization.

356149039860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19499 (or 19491 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 356149039860 in words is "three hundred fifty-six billion, one hundred forty-nine million, thirty-nine thousand, eight hundred sixty".