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5464267536 = 2437213259233
BaseRepresentation
bin1010001011011001…
…00001101100010000
3112002210222112220010
411011230201230100
542142323030121
62302114114520
7252260336100
oct50554415420
915083875803
105464267536
112354489092
121085b7ba40
136910b2700
1439b9d5200
1521eab2376
hex145b21b10

5464267536 has 360 divisors, whose sum is σ = 18159953760. Its totient is φ = 1410619392.

The previous prime is 5464267489. The next prime is 5464267537. The reversal of 5464267536 is 6357624645.

It is a super-2 number, since 2×54642675362 = 59716439409967022592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5464267537) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 23451676 + ... + 23451908.

It is an arithmetic number, because the mean of its divisors is an integer number (50444316).

Almost surely, 25464267536 is an apocalyptic number.

5464267536 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 5464267536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9079976880).

5464267536 is an abundant number, since it is smaller than the sum of its proper divisors (12695686224).

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

5464267536 is a wasteful number, since it uses less digits than its factorization.

5464267536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 317 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

The square root of 5464267536 is about 73920.6840877437. The cubic root of 5464267536 is about 1761.3431912446.

The spelling of 5464267536 in words is "five billion, four hundred sixty-four million, two hundred sixty-seven thousand, five hundred thirty-six".