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5406511032 = 23321315736791
BaseRepresentation
bin1010000100100000…
…01100111110111000
3111221210022012212100
411002100030332320
542033031323112
62252252143400
7250656404556
oct50220147670
914853265770
105406511032
11232491a83a
12106a767b60
1368213c970
1439407cbd6
152199a42dc
hex14240cfb8

5406511032 has 96 divisors (see below), whose sum is σ = 15869861280. Its totient is φ = 1652901120.

The previous prime is 5406510953. The next prime is 5406511063. The reversal of 5406511032 is 2301156045.

5406511032 is a `hidden beast` number, since 5 + 4 + 0 + 651 + 1 + 0 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5406510987 and 5406511005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128557 + ... + 165347.

It is an arithmetic number, because the mean of its divisors is an integer number (165311055).

Almost surely, 25406511032 is an apocalyptic number.

5406511032 is a gapful number since it is divisible by the number (52) 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 5406511032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934930640).

5406511032 is an abundant number, since it is smaller than the sum of its proper divisors (10463350248).

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

5406511032 is a wasteful number, since it uses less digits than its factorization.

5406511032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36973 (or 36966 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5406511032 is about 73528.9808986906. The cubic root of 5406511032 is about 1755.1154846450.

Adding to 5406511032 its reverse (2301156045), we get a palindrome (7707667077).

The spelling of 5406511032 in words is "five billion, four hundred six million, five hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 157 234 312 314 468 471 628 936 942 1256 1413 1884 2041 2826 3768 4082 5652 6123 8164 11304 12246 16328 18369 24492 36738 36791 48984 73476 73582 110373 146952 147164 220746 294328 331119 441492 478283 662238 882984 956566 1324476 1434849 1913132 2648952 2869698 3826264 4304547 5739396 5776187 8609094 11478792 11552374 17218188 17328561 23104748 34436376 34657122 46209496 51985683 69314244 75090431 103971366 138628488 150180862 207942732 225271293 300361724 415885464 450542586 600723448 675813879 901085172 1351627758 1802170344 2703255516 5406511032