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455728259052 = 22321122720112521
BaseRepresentation
bin1101010000110111000…
…01010101111111101100
31121120022111010020210100
412220123201111333230
524431312413242202
6545205250111100
744632241200323
oct6503341257754
91546274106710
10455728259052
111663007a3240
12743a657b490
1333c8a091761
14180b35a70ba
15bcc40ea41c
hex6a1b855fec

455728259052 has 144 divisors (see below), whose sum is σ = 1263369953664. Its totient is φ = 137368224000.

The previous prime is 455728259009. The next prime is 455728259057. The reversal of 455728259052 is 250952827554.

455728259052 is a `hidden beast` number, since 4 + 557 + 2 + 82 + 5 + 9 + 0 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 455728259052.

It is not an unprimeable number, because it can be changed into a prime (455728259057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180771552 + ... + 180774072.

It is an arithmetic number, because the mean of its divisors is an integer number (8773402456).

Almost surely, 2455728259052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455728259052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631684976832).

455728259052 is an abundant number, since it is smaller than the sum of its proper divisors (807641694612).

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

455728259052 is a wasteful number, since it uses less digits than its factorization.

455728259052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 455728259052 in words is "four hundred fifty-five billion, seven hundred twenty-eight million, two hundred fifty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 227 396 454 681 908 1362 2011 2043 2497 2521 2724 4022 4086 4994 5042 6033 7491 7563 8044 8172 9988 10084 12066 14982 15126 18099 22121 22473 22689 24132 27731 29964 30252 36198 44242 44946 45378 55462 66363 72396 83193 88484 89892 90756 110924 132726 166386 199089 249579 265452 332772 398178 456497 499158 572267 796356 912994 998316 1144534 1369491 1716801 1825988 2289068 2738982 3433602 4108473 5021467 5069731 5150403 5477964 6294937 6867204 8216946 10042934 10139462 10300806 12589874 15064401 15209193 16433892 18884811 20085868 20278924 20601612 25179748 30128802 30418386 37769622 45193203 45627579 55767041 56654433 60257604 60836772 75539244 90386406 91255158 111534082 113308866 167301123 180772812 182510316 223068164 226617732 334602246 501903369 669204492 1003806738 1150828937 2007613476 2301657874 3452486811 4603315748 6904973622 10357460433 12659118307 13809947244 20714920866 25318236614 37977354921 41429841732 50636473228 75954709842 113932064763 151909419684 227864129526 455728259052