Search a number
-
+
45332314421616 = 243434978637671
BaseRepresentation
bin10100100111010110000000…
…11111110111100101110000
312221111201121221020212110000
422103223000133313211300
521420211034442442431
6240225213332110000
712356103003555135
oct1223530037674560
9187451557225400
1045332314421616
11134983657530a2
125101858465300
131c3aa851a6b61
14b2a14a95258c
155392e69e59e6
hex293ac07f7970

45332314421616 has 50 divisors (see below), whose sum is σ = 131204869907672. Its totient is φ = 15110771473440.

The previous prime is 45332314421539. The next prime is 45332314421671. The reversal of 45332314421616 is 61612441323354.

45332314421616 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 2 + 3 + 1 + 4 + 4 + 21 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17489317540 + ... + 17489320131.

Almost surely, 245332314421616 is an apocalyptic number.

It is an amenable number.

45332314421616 is an abundant number, since it is smaller than the sum of its proper divisors (85872555486056).

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

45332314421616 is a wasteful number, since it uses less digits than its factorization.

45332314421616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34978637691 (or 34978637676 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 45332314421616 in words is "forty-five trillion, three hundred thirty-two billion, three hundred fourteen million, four hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 34978637671 69957275342 104935913013 139914550684 209871826026 279829101368 314807739039 419743652052 559658202736 629615478078 839487304104 944423217117 1259230956156 1678974608208 1888846434234 2518461912312 2833269651351 3777692868468 5036923824624 5666539302702 7555385736936 11333078605404 15110771473872 22666157210808 45332314421616