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20880154440 = 2332558000429
BaseRepresentation
bin10011011100100011…
…011101111101001000
31222220011200202011100
4103130203131331020
5320230304420230
613331530101400
71336300245555
oct233443357510
958804622140
1020880154440
118945337092
12406887a860
131c79b43292
141021157a2c
15823177660
hex4dc8ddf48

20880154440 has 48 divisors (see below), whose sum is σ = 67860503100. Its totient is φ = 5568041088.

The previous prime is 20880154417. The next prime is 20880154447. The reversal of 20880154440 is 4445108802.

20880154440 is a `hidden beast` number, since 208 + 8 + 0 + 1 + 5 + 4 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18784895364 + 2095259076 = 137058^2 + 45774^2 .

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

20880154440 is a modest number, since divided by 154440 gives 20880 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 20880154395 and 20880154404.

It is not an unprimeable number, because it can be changed into a prime (20880154447) 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 11 ways as a sum of consecutive naturals, for example, 28999855 + ... + 29000574.

Almost surely, 220880154440 is an apocalyptic number.

20880154440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20880154440 is an abundant number, since it is smaller than the sum of its proper divisors (46980348660).

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

20880154440 is a wasteful number, since it uses less digits than its factorization.

20880154440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58000446 (or 58000439 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 20880154440 in words is "twenty billion, eight hundred eighty million, one hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 58000429 116000858 174001287 232001716 290002145 348002574 464003432 522003861 580004290 696005148 870006435 1044007722 1160008580 1392010296 1740012870 2088015444 2320017160 2610019305 3480025740 4176030888 5220038610 6960051480 10440077220 20880154440