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398687503368 = 233711418363397
BaseRepresentation
bin1011100110100111010…
…00001000010000001000
31102010002012212122002110
411303103220020100020
523013003000101433
6503053212502320
740542563602140
oct5632350102010
91363065778073
10398687503368
1114409a77a240
126532777a9a0
132b79974930b
1415421b4b920
15a58658a963
hex5cd3a08408

398687503368 has 256 divisors, whose sum is σ = 1288328509440. Its totient is φ = 99810662400.

The previous prime is 398687503363. The next prime is 398687503369. The reversal of 398687503368 is 863305786893.

It is a happy number.

It is a super-2 number, since 2×3986875033682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 398687503299 and 398687503308.

It is not an unprimeable number, because it can be changed into a prime (398687503363) 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, 6257046 + ... + 6320442.

It is an arithmetic number, because the mean of its divisors is an integer number (5032533240).

Almost surely, 2398687503368 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 398687503368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644164254720).

398687503368 is an abundant number, since it is smaller than the sum of its proper divisors (889641006072).

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

398687503368 is a wasteful number, since it uses less digits than its factorization.

398687503368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63548 (or 63544 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 398687503368 in words is "three hundred ninety-eight billion, six hundred eighty-seven million, five hundred three thousand, three hundred sixty-eight".