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2045445060312 = 2337116909297
BaseRepresentation
bin11101110000111110000…
…001101011011011011000
321020112122120202010000000
4131300332001223123120
5232003032413412222
64203355310213000
7300531015100203
oct35607601533330
97215576663000
102045445060312
11719517459275
122905074b4160
1311ab667329c4
147100029293a
1538317a309ac
hex1dc3e06b6d8

2045445060312 has 64 divisors (see below), whose sum is σ = 5751937461600. Its totient is φ = 681815014272.

The previous prime is 2045445060311. The next prime is 2045445060319. The reversal of 2045445060312 is 2130605445402.

2045445060312 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 4 + 45 + 0 + 603 + 1 + 2 = 666.

It is a super-2 number, since 2×20454450603122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045445060311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58437153 + ... + 58472144.

Almost surely, 22045445060312 is an apocalyptic number.

It is an amenable number.

2045445060312 is an abundant number, since it is smaller than the sum of its proper divisors (3706492401288).

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

2045445060312 is an equidigital number, since it uses as much as digits as its factorization.

2045445060312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116909324 (or 116909302 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2045445060312 in words is "two trillion, forty-five billion, four hundred forty-five million, sixty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 116909297 233818594 350727891 467637188 701455782 935274376 1052183673 1402911564 2104367346 2805823128 3156551019 4208734692 6313102038 8417469384 9469653057 12626204076 18939306114 25252408152 28408959171 37878612228 56817918342 75757224456 85226877513 113635836684 170453755026 227271673368 255680632539 340907510052 511361265078 681815020104 1022722530156 2045445060312