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5136540480 = 263451711657
BaseRepresentation
bin1001100100010100…
…10110001101000000
3111020222022021220000
410302022112031000
541004423243410
62205405520000
7241200605451
oct46212261500
914228267800
105136540480
1121a6496985
12bb4273000
1363b227386
1436a285128
15200e27dc0
hex132296340

5136540480 has 280 divisors, whose sum is σ = 19348036488. Its totient is φ = 1289060352.

The previous prime is 5136540467. The next prime is 5136540499. The reversal of 5136540480 is 840456315.

It is a happy number.

5136540480 is a `hidden beast` number, since 5 + 1 + 36 + 540 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1591052544 + 3545487936 = 39888^2 + 59544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434812 + ... + 446468.

Almost surely, 25136540480 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 5136540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9674018244).

5136540480 is an abundant number, since it is smaller than the sum of its proper divisors (14211496008).

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

5136540480 is a wasteful number, since it uses less digits than its factorization.

5136540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703 (or 11684 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5136540480 is about 71669.6622009620. The cubic root of 5136540480 is about 1725.4017665315.

Adding to 5136540480 its reverse (840456315), we get a palindrome (5976996795).

The spelling of 5136540480 in words is "five billion, one hundred thirty-six million, five hundred forty thousand, four hundred eighty".