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455511201552 = 2432111471195493
BaseRepresentation
bin1101010000011101001…
…01010101011100010000
31121112202100200120212200
412220032211111130100
524430341331422202
6545131533523200
744623664220531
oct6501645253420
91545670616780
10455511201552
111661aa21a780
1274345943500
1333c54114474
1418092824688
15bcb0021e1c
hex6a0e955710

455511201552 has 120 divisors (see below), whose sum is σ = 1391642024448. Its totient is φ = 137939155200.

The previous prime is 455511201547. The next prime is 455511201557. The reversal of 455511201552 is 255102115554.

455511201552 is a `hidden beast` number, since 4 + 55 + 51 + 1 + 2 + 0 + 1 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (455511201547) and next prime (455511201557).

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

It is not an unprimeable number, because it can be changed into a prime (455511201557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2232318 + ... + 2427810.

Almost surely, 2455511201552 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 455511201552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695821012224).

455511201552 is an abundant number, since it is smaller than the sum of its proper divisors (936130822896).

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

455511201552 is a wasteful number, since it uses less digits than its factorization.

455511201552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196989 (or 196980 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

The spelling of 455511201552 in words is "four hundred fifty-five billion, five hundred eleven million, two hundred one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1471 1584 2942 4413 5884 8826 11768 13239 16181 17652 23536 26478 32362 35304 48543 52956 64724 70608 97086 105912 129448 145629 194172 195493 211824 258896 291258 388344 390986 582516 586479 776688 781972 1165032 1172958 1563944 1759437 2150423 2330064 2345916 3127888 3518874 4300846 4691832 6451269 7037748 8601692 9383664 12902538 14075496 17203384 19353807 25805076 28150992 34406768 38707614 51610152 77415228 103220304 154830456 287570203 309660912 575140406 862710609 1150280812 1725421218 2300561624 2588131827 3163272233 3450842436 4601123248 5176263654 6326544466 6901684872 9489816699 10352527308 12653088932 13803369744 18979633398 20705054616 25306177864 28469450097 37959266796 41410109232 50612355728 56938900194 75918533592 113877800388 151837067184 227755600776 455511201552