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6103198464 = 283114353317
BaseRepresentation
bin1011010111100011…
…10110101100000000
3120202100020121100120
411223301312230000
544444404322324
62445340420240
7304146221346
oct55361665400
916670217316
106103198464
112652107380
121223b47680
1376358c34c
1441c7d3996
1525ac20179
hex16bc76b00

6103198464 has 288 divisors, whose sum is σ = 18532571904. Its totient is φ = 1766768640.

The previous prime is 6103198457. The next prime is 6103198471. The reversal of 6103198464 is 4648913016.

It is an interprime number because it is at equal distance from previous prime (6103198457) and next prime (6103198471).

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, 19252834 + ... + 19253150.

It is an arithmetic number, because the mean of its divisors is an integer number (64349208).

Almost surely, 26103198464 is an apocalyptic number.

6103198464 is a gapful number since it is divisible by the number (64) 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 6103198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266285952).

6103198464 is an abundant number, since it is smaller than the sum of its proper divisors (12429373440).

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

6103198464 is a wasteful number, since it uses less digits than its factorization.

6103198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 6103198464 is about 78122.9701432300. The cubic root of 6103198464 is about 1827.4794311142.

The spelling of 6103198464 in words is "six billion, one hundred three million, one hundred ninety-eight thousand, four hundred sixty-four".