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455330113000 = 23537269241811
BaseRepresentation
bin1101010000000111100…
…10100010010111101000
31121112021201221100002021
412220003302202113220
524430004002104000
6545101544314224
744616335046550
oct6500362422750
91545251840067
10455330113000
11166116a84214
12742b5172974
1333c2574bc89
1418076766160
15bc9e1a111a
hex6a03ca25e8

455330113000 has 128 divisors (see below), whose sum is σ = 1222214572800. Its totient is φ = 155532192000.

The previous prime is 455330112997. The next prime is 455330113009. The reversal of 455330113000 is 311033554.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (455330113009) 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 31 ways as a sum of consecutive naturals, for example, 1762095 + ... + 2003905.

It is an arithmetic number, because the mean of its divisors is an integer number (9548551350).

Almost surely, 2455330113000 is an apocalyptic number.

455330113000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455330113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611107286400).

455330113000 is an abundant number, since it is smaller than the sum of its proper divisors (766884459800).

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

455330113000 is a wasteful number, since it uses less digits than its factorization.

455330113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242108 (or 242094 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 455330113000 its reverse (311033554), we get a palindrome (455641146554).

The spelling of 455330113000 in words is "four hundred fifty-five billion, three hundred thirty million, one hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 269 280 350 500 538 700 875 1000 1076 1345 1400 1750 1883 2152 2690 3500 3766 5380 6725 7000 7532 9415 10760 13450 15064 18830 26900 33625 37660 47075 53800 67250 75320 94150 134500 188300 235375 241811 269000 376600 470750 483622 941500 967244 1209055 1692677 1883000 1934488 2418110 3385354 4836220 6045275 6770708 8463385 9672440 12090550 13541416 16926770 24181100 30226375 33853540 42316925 48362200 60452750 65047159 67707080 84633850 120905500 130094318 169267700 211584625 241811000 260188636 325235795 338535400 423169250 455330113 520377272 650471590 846338500 910660226 1300943180 1626178975 1692677000 1821320452 2276650565 2601886360 3252357950 3642640904 4553301130 6504715900 8130894875 9106602260 11383252825 13009431800 16261789750 18213204520 22766505650 32523579500 45533011300 56916264125 65047159000 91066022600 113832528250 227665056500 455330113000