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27413530416 = 2432229383023
BaseRepresentation
bin11001100001111110…
…010100011100110000
32121202111101122010100
4121201332110130300
5422120330433131
620332115032400
71660222110126
oct314176243460
977674348110
1027413530416
1110698250168
12539089b700
13277b57b91c
141480b29916
15aa6a1c7e6
hex661f94730

27413530416 has 60 divisors (see below), whose sum is σ = 76754193568. Its totient is φ = 9133748352.

The previous prime is 27413530381. The next prime is 27413530439. The reversal of 27413530416 is 61403531472.

27413530416 is a `hidden beast` number, since 2 + 74 + 13 + 530 + 41 + 6 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 288681 + ... + 371703.

Almost surely, 227413530416 is an apocalyptic number.

It is an amenable number.

27413530416 is an abundant number, since it is smaller than the sum of its proper divisors (49340663152).

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

27413530416 is a wasteful number, since it uses less digits than its factorization.

27413530416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85330 (or 85321 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 27413530416 in words is "twenty-seven billion, four hundred thirteen million, five hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2293 4586 6879 9172 13758 18344 20637 27516 36688 41274 55032 82548 83023 110064 165096 166046 249069 330192 332092 498138 664184 747207 996276 1328368 1494414 1992552 2988828 3985104 5977656 11955312 190371739 380743478 571115217 761486956 1142230434 1522973912 1713345651 2284460868 3045947824 3426691302 4568921736 6853382604 9137843472 13706765208 27413530416