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5190190656 = 263741131719
BaseRepresentation
bin1001101010101110…
…00000011001000000
3111101201021000002120
410311113000121000
541112142100111
62215003444240
7242421615120
oct46527003100
914351230076
105190190656
112223800072
12100a226680
13649390041
1437344cc80
152059c4406
hex1355c0640

5190190656 has 224 divisors, whose sum is σ = 16222187520. Its totient is φ = 1433702400.

The previous prime is 5190190631. The next prime is 5190190679. The reversal of 5190190656 is 6560910915.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 7218265 + ... + 7218983.

It is an arithmetic number, because the mean of its divisors is an integer number (72420480).

Almost surely, 25190190656 is an apocalyptic number.

5190190656 is a gapful number since it is divisible by the number (56) 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 5190190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111093760).

5190190656 is an abundant number, since it is smaller than the sum of its proper divisors (11031996864).

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

5190190656 is a wasteful number, since it uses less digits than its factorization.

5190190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 5190190656 is about 72042.9778396201. The cubic root of 5190190656 is about 1731.3881355440.

The spelling of 5190190656 in words is "five billion, one hundred ninety million, one hundred ninety thousand, six hundred fifty-six".