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3172490496 = 283372171929
BaseRepresentation
bin1011110100011000…
…0101110100000000
322012002121012211000
42331012011310000
522444124143441
61242445252000
7141421503300
oct27506056400
98162535730
103172490496
11138887407a
12746564000
133b7359316
142214a7600
151387b72b6
hexbd185d00

3172490496 has 864 divisors, whose sum is σ = 12582864000. Its totient is φ = 780337152.

The previous prime is 3172490473. The next prime is 3172490527. The reversal of 3172490496 is 6940942713.

It is a happy number.

3172490496 is a `hidden beast` number, since 3 + 1 + 72 + 4 + 90 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109396210 + ... + 109396238.

It is an arithmetic number, because the mean of its divisors is an integer number (14563500).

Almost surely, 23172490496 is an apocalyptic number.

3172490496 is a gapful number since it is divisible by the number (36) 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 3172490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291432000).

3172490496 is an abundant number, since it is smaller than the sum of its proper divisors (9410373504).

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

3172490496 is a wasteful number, since it uses less digits than its factorization.

3172490496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3172490496 is about 56324.8656989078. The cubic root of 3172490496 is about 1469.3776957769.

The spelling of 3172490496 in words is "three billion, one hundred seventy-two million, four hundred ninety thousand, four hundred ninety-six".