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45201980016 = 243434878071
BaseRepresentation
bin101010000110001111…
…110111101001110000
311022200012111111120000
4222012033313221300
51220033201330031
632433203150000
73160101330204
oct520617675160
9138605444500
1045201980016
1118196380686
128916075300
134354a0c74b
14228b408b04
1512985393e6
hexa863f7a70

45201980016 has 50 divisors (see below), whose sum is σ = 130827648072. Its totient is φ = 15067326240.

The previous prime is 45201979987. The next prime is 45201980023. The reversal of 45201980016 is 61008910254.

45201980016 is a `hidden beast` number, since 452 + 0 + 198 + 0 + 0 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17437740 + ... + 17440331.

Almost surely, 245201980016 is an apocalyptic number.

It is an amenable number.

45201980016 is an abundant number, since it is smaller than the sum of its proper divisors (85625668056).

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

45201980016 is a wasteful number, since it uses less digits than its factorization.

45201980016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34878091 (or 34878076 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 45201980016 in words is "forty-five billion, two hundred one million, nine hundred eighty thousand, 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 34878071 69756142 104634213 139512284 209268426 279024568 313902639 418536852 558049136 627805278 837073704 941707917 1255610556 1674147408 1883415834 2511221112 2825123751 3766831668 5022442224 5650247502 7533663336 11300495004 15067326672 22600990008 45201980016