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454545505040 = 245111931267493
BaseRepresentation
bin1101001110101010000…
…01011111101100010000
31121110021001120010022012
412213111001133230100
524421402122130130
6544452035402052
744561030021024
oct6472501375420
91543231503265
10454545505040
111658540a6690
1274116453328
1333b2c028003
1418000486384
15bc55369995
hex69d505fb10

454545505040 has 80 divisors (see below), whose sum is σ = 1153494046656. Its totient is φ = 165203059200.

The previous prime is 454545505021. The next prime is 454545505049. The reversal of 454545505040 is 40505545454.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4545455050402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (454545505049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1565534 + ... + 1833026.

Almost surely, 2454545505040 is an apocalyptic number.

454545505040 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 454545505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576747023328).

454545505040 is an abundant number, since it is smaller than the sum of its proper divisors (698948541616).

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

454545505040 is a wasteful number, since it uses less digits than its factorization.

454545505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269448 (or 269442 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 41.

The spelling of 454545505040 in words is "four hundred fifty-four billion, five hundred forty-five million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1931 3862 7724 9655 15448 19310 21241 30896 38620 42482 77240 84964 106205 154480 169928 212410 267493 339856 424820 534986 849640 1069972 1337465 1699280 2139944 2674930 2942423 4279888 5349860 5884846 10699720 11769692 14712115 21399440 23539384 29424230 47078768 58848460 117696920 235393840 516528983 1033057966 2066115932 2582644915 4132231864 5165289830 5681818813 8264463728 10330579660 11363637626 20661159320 22727275252 28409094065 41322318640 45454550504 56818188130 90909101008 113636376260 227272752520 454545505040