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3198696480 = 25355722373
BaseRepresentation
bin1011111010101000…
…0011110000100000
322020220220121200000
42332222003300200
523022331241410
61245223100000
7142160320500
oct27652036040
98226817600
103198696480
1113a1643011
127532a1600
133bc903415
14224b69a00
1513ac41dc0
hexbea83c20

3198696480 has 864 divisors, whose sum is σ = 13928713344. Its totient is φ = 689762304.

The previous prime is 3198696469. The next prime is 3198696481. The reversal of 3198696480 is 846968913.

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

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

It is not an unprimeable number, because it can be changed into a prime (3198696481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43817724 + ... + 43817796.

It is an arithmetic number, because the mean of its divisors is an integer number (16121196).

Almost surely, 23198696480 is an apocalyptic number.

3198696480 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 3198696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964356672).

3198696480 is an abundant number, since it is smaller than the sum of its proper divisors (10730016864).

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

3198696480 is a wasteful number, since it uses less digits than its factorization.

3198696480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3198696480 is about 56557.0197234614. The cubic root of 3198696480 is about 1473.4124802500.

The spelling of 3198696480 in words is "three billion, one hundred ninety-eight million, six hundred ninety-six thousand, four hundred eighty".