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5214155436 = 2233736718793
BaseRepresentation
bin1001101101100100…
…11011001010101100
3111110101100112121000
410312302123022230
541134310433221
62221221240300
7243132406230
oct46662331254
914411315530
105214155436
112236289176
121016263090
13651330c99
143766ca5c0
15207b59e26
hex136c9b2ac

5214155436 has 96 divisors (see below), whose sum is σ = 15492270080. Its totient is φ = 1485620352.

The previous prime is 5214155411. The next prime is 5214155461. The reversal of 5214155436 is 6345514125.

5214155436 is a `hidden beast` number, since 5 + 214 + 1 + 5 + 5 + 436 = 666.

It is an interprime number because it is at equal distance from previous prime (5214155411) and next prime (5214155461).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5214155436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268056 + ... + 286848.

Almost surely, 25214155436 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 5214155436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7746135040).

5214155436 is an abundant number, since it is smaller than the sum of its proper divisors (10278114644).

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

5214155436 is a wasteful number, since it uses less digits than its factorization.

5214155436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19180 (or 19172 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5214155436 is about 72209.1090929669. The cubic root of 5214155436 is about 1734.0488366413.

It can be divided in two parts, 521415 and 5436, that added together give a triangular number (526851 = T1026).

The spelling of 5214155436 in words is "five billion, two hundred fourteen million, one hundred fifty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 367 378 734 756 1101 1468 2202 2569 3303 4404 5138 6606 7707 9909 10276 13212 15414 18793 19818 23121 30828 37586 39636 46242 56379 69363 75172 92484 112758 131551 138726 169137 225516 263102 277452 338274 394653 507411 526204 676548 789306 1014822 1183959 1578612 2029644 2367918 3551877 4735836 6897031 7103754 13794062 14207508 20691093 27588124 41382186 48279217 62073279 82764372 96558434 124146558 144837651 186219837 193116868 248293116 289675302 372439674 434512953 579350604 744879348 869025906 1303538859 1738051812 2607077718 5214155436