Search a number
-
+
5357197440 = 27355721937
BaseRepresentation
bin1001111110101000…
…00101100010000000
3111211100111211100000
410333110011202000
541432420304230
62243331200000
7246520266300
oct47724054200
914740454300
105357197440
1122a9aa8801
121056146000
13674b64b1a
1438b6c3600
152154b2b60
hex13f505880

5357197440 has 1152 divisors, whose sum is σ = 24125774400. Its totient is φ = 1128701952.

The previous prime is 5357197429. The next prime is 5357197453. The reversal of 5357197440 is 447917535.

5357197440 is a `hidden beast` number, since 5 + 3 + 571 + 9 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×53571974402 = 57399128822285107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 144789102 + ... + 144789138.

Almost surely, 25357197440 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 5357197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12062887200).

5357197440 is an abundant number, since it is smaller than the sum of its proper divisors (18768576960).

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

5357197440 is a wasteful number, since it uses less digits than its factorization.

5357197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5357197440 is about 73192.8783420901. The cubic root of 5357197440 is about 1749.7629545592.

The spelling of 5357197440 in words is "five billion, three hundred fifty-seven million, one hundred ninety-seven thousand, four hundred forty".