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450150807680 = 2757100480091
BaseRepresentation
bin1101000110011110001…
…01000011100010000000
31121000220210011100212022
412203033011003202000
524333402101321210
6542444010021012
744344104506210
oct6431705034200
91530823140768
10450150807680
111639a94394a2
12732aa717768
13335ab700782
1417b0494c240
15ba9962c155
hex68cf143880

450150807680 has 64 divisors (see below), whose sum is σ = 1229876326080. Its totient is φ = 154337418240.

The previous prime is 450150807571. The next prime is 450150807749. The reversal of 450150807680 is 86708051054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50235566 + ... + 50244525.

It is an arithmetic number, because the mean of its divisors is an integer number (19216817595).

Almost surely, 2450150807680 is an apocalyptic number.

450150807680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450150807680 is an abundant number, since it is smaller than the sum of its proper divisors (779725518400).

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

450150807680 is a wasteful number, since it uses less digits than its factorization.

450150807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100480117 (or 100480105 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 450150807680 in words is "four hundred fifty billion, one hundred fifty million, eight hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 100480091 200960182 401920364 502400455 703360637 803840728 1004800910 1406721274 1607681456 2009601820 2813442548 3215362912 3516803185 4019203640 5626885096 6430725824 7033606370 8038407280 11253770192 12861451648 14067212740 16076814560 22507540384 28134425480 32153629120 45015080768 56268850960 64307258240 90030161536 112537701920 225075403840 450150807680