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5436506772 = 2232178883181
BaseRepresentation
bin1010001000000101…
…01000001010010100
3112000212202011021200
411010002220022110
542113221204042
62255243112500
7251502354654
oct50402501224
915025664250
105436506772
11233a848004
121078812730
13688412a18
1439804a364
1521c42bc4c
hex1440a8294

5436506772 has 36 divisors (see below), whose sum is σ = 14550652116. Its totient is φ = 1705570560.

The previous prime is 5436506771. The next prime is 5436506773. The reversal of 5436506772 is 2776056345.

It is an interprime number because it is at equal distance from previous prime (5436506771) and next prime (5436506773).

It can be written as a sum of positive squares in 2 ways, for example, as 2860538256 + 2575968516 = 53484^2 + 50754^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436506771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4440979 + ... + 4442202.

It is an arithmetic number, because the mean of its divisors is an integer number (404184781).

Almost surely, 25436506772 is an apocalyptic number.

It is an amenable number.

5436506772 is an abundant number, since it is smaller than the sum of its proper divisors (9114145344).

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

5436506772 is a wasteful number, since it uses less digits than its factorization.

5436506772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8883208 (or 8883203 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 5436506772 is about 73732.6709946140. The cubic root of 5436506772 is about 1758.3553390286.

The spelling of 5436506772 in words is "five billion, four hundred thirty-six million, five hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 8883181 17766362 26649543 35532724 53299086 79948629 106598172 151014077 159897258 302028154 319794516 453042231 604056308 906084462 1359126693 1812168924 2718253386 5436506772