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296538963140 = 225717145385751
BaseRepresentation
bin1000101000010110001…
…10010111110011000100
31001100102022101010201202
410110023012113303010
514324302433310030
6344121135042032
730265340412020
oct4241306276304
91040368333652
10296538963140
11104841572062
124957a370318
1321c6aa84bc4
14104d1607380
157aa88eb745
hex450b197cc4

296538963140 has 96 divisors (see below), whose sum is σ = 754085251584. Its totient is φ = 95622912000.

The previous prime is 296538963137. The next prime is 296538963179. The reversal of 296538963140 is 41369835692.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 3415265 + ... + 3501015.

It is an arithmetic number, because the mean of its divisors is an integer number (7855054704).

Almost surely, 2296538963140 is an apocalyptic number.

296538963140 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 296538963140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377042625792).

296538963140 is an abundant number, since it is smaller than the sum of its proper divisors (457546288444).

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

296538963140 is a wasteful number, since it uses less digits than its factorization.

296538963140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87237 (or 87235 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 56.

The spelling of 296538963140 in words is "two hundred ninety-six billion, five hundred thirty-eight million, nine hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1453 2380 2906 5812 7265 10171 14530 20342 24701 29060 40684 49402 50855 85751 98804 101710 123505 171502 172907 203420 247010 343004 345814 428755 494020 600257 691628 857510 864535 1200514 1457767 1715020 1729070 2401028 2915534 3001285 3458140 5831068 6002570 7288835 10204369 12005140 14577670 20408738 29155340 40817476 51021845 102043690 124596203 204087380 249192406 498384812 622981015 872173421 1245962030 1744346842 2118135451 2491924060 3488693684 4236270902 4360867105 8472541804 8721734210 10590677255 14826948157 17443468420 21181354510 29653896314 42362709020 59307792628 74134740785 148269481570 296538963140