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334955490020 = 225281100959069
BaseRepresentation
bin1001101111111001110…
…01110010101011100100
31012000120121211220110122
410313330321302223210
520441442101140040
6413513150341112
733125336455064
oct4677471625344
91160517756418
10334955490020
1111a065707328
1254abbaba798
1325780a6a008
14122d77833a4
158aa639b1b5
hex4dfce72ae4

334955490020 has 48 divisors (see below), whose sum is σ = 706621330800. Its totient is φ = 133370818560.

The previous prime is 334955490007. The next prime is 334955490029. The reversal of 334955490020 is 20094559433.

It can be written as a sum of positive squares in 8 ways, for example, as 994014784 + 333961475236 = 31528^2 + 577894^2 .

It is a super-2 number, since 2×3349554900202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334955490029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5641046 + ... + 5700114.

It is an arithmetic number, because the mean of its divisors is an integer number (14721277725).

Almost surely, 2334955490020 is an apocalyptic number.

It is an amenable number.

334955490020 is an abundant number, since it is smaller than the sum of its proper divisors (371665840780).

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

334955490020 is a wasteful number, since it uses less digits than its factorization.

334955490020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60368 (or 60366 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 334955490020 in words is "three hundred thirty-four billion, nine hundred fifty-five million, four hundred ninety thousand, twenty".

Divisors: 1 2 4 5 10 20 281 562 1009 1124 1405 2018 2810 4036 5045 5620 10090 20180 59069 118138 236276 283529 295345 567058 590690 1134116 1181380 1417645 2835290 5670580 16598389 33196778 59600621 66393556 82991945 119201242 165983890 238402484 298003105 331967780 596006210 1192012420 16747774501 33495549002 66991098004 83738872505 167477745010 334955490020