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2563890030 = 2335133123563
BaseRepresentation
bin1001100011010001…
…1101101101101110
320121200102002221000
42120310131231232
520222323440110
61102225021130
7120351464022
oct23064355556
96550362830
102563890030
1110a6281589
125b67847a6
1331b23bbc0
141a4722382
1510014b1c0
hex98d1db6e

2563890030 has 128 divisors (see below), whose sum is σ = 7600803840. Its totient is φ = 610727040.

The previous prime is 2563890019. The next prime is 2563890031. The reversal of 2563890030 is 300983652.

2563890030 is a `hidden beast` number, since 2 + 563 + 8 + 90 + 0 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563890031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97029 + ... + 120591.

It is an arithmetic number, because the mean of its divisors is an integer number (59381280).

Almost surely, 22563890030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563890030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800401920).

2563890030 is an abundant number, since it is smaller than the sum of its proper divisors (5036913810).

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

2563890030 is a wasteful number, since it uses less digits than its factorization.

2563890030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23623 (or 23617 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2563890030 is about 50634.8697045820. The cubic root of 2563890030 is about 1368.6733085197.

The spelling of 2563890030 in words is "two billion, five hundred sixty-three million, eight hundred ninety thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 90 93 117 130 135 155 186 195 234 270 279 310 351 390 403 465 558 585 702 806 837 930 1170 1209 1395 1674 1755 2015 2418 2790 3510 3627 4030 4185 6045 7254 8370 10881 12090 18135 21762 23563 36270 47126 54405 70689 108810 117815 141378 212067 235630 306319 353445 424134 612638 636201 706890 730453 918957 1060335 1272402 1460906 1531595 1837914 2120670 2191359 2756871 3063190 3181005 3652265 4382718 4594785 5513742 6362010 6574077 7304530 8270613 9189570 9495889 10956795 13148154 13784355 16541226 18991778 19722231 21913590 27568710 28487667 32870385 39444462 41353065 47479445 56975334 65740770 82706130 85463001 94958890 98611155 142438335 170926002 197222310 256389003 284876670 427315005 512778006 854630010 1281945015 2563890030