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245012000000 = 285661253
BaseRepresentation
bin1110010000101111011…
…0100110110100000000
3212102102022022012110112
43210023312212310000
513003241033000000
6304320145250452
723462424431465
oct3441366466400
9772368265415
10245012000000
11949aa982aa9
123b59a033a28
131a1488722c1
14bc0419566c
15658ee83235
hex390bda6d00

245012000000 has 126 divisors (see below), whose sum is σ = 611335807614. Its totient is φ = 98003200000.

The previous prime is 245011999963. The next prime is 245012000029. The reversal of 245012000000 is 210542.

It can be written as a sum of positive squares in 7 ways, for example, as 229264761856 + 15747238144 = 478816^2 + 125488^2 .

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 3969374 + ... + 4030626.

It is an arithmetic number, because the mean of its divisors is an integer number (4851871489).

Almost surely, 2245012000000 is an apocalyptic number.

245012000000 is a gapful number since it is divisible by the number (20) 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 245012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305667903807).

245012000000 is an abundant number, since it is smaller than the sum of its proper divisors (366323807614).

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

245012000000 is an frugal number, since it uses more digits than its factorization.

245012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61299 (or 61260 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 245012000000 its reverse (210542), we get a palindrome (245012210542).

The spelling of 245012000000 in words is "two hundred forty-five billion, twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 61253 62500 80000 100000 122506 125000 160000 200000 245012 250000 306265 400000 490024 500000 612530 800000 980048 1000000 1225060 1531325 1960096 2000000 2450120 3062650 3920192 4000000 4900240 6125300 7656625 7840384 9800480 12250600 15313250 15680768 19600960 24501200 30626500 38283125 39201920 49002400 61253000 76566250 78403840 98004800 122506000 153132500 191415625 196009600 245012000 306265000 382831250 392019200 490024000 612530000 765662500 957078125 980048000 1225060000 1531325000 1914156250 1960096000 2450120000 3062650000 3828312500 4900240000 6125300000 7656625000 9800480000 12250600000 15313250000 24501200000 30626500000 49002400000 61253000000 122506000000 245012000000