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296324945920 = 2115199145417
BaseRepresentation
bin1000100111111100101…
…01111101100000000000
31001022212101122221022001
410103332111331200000
514323333141232140
6344044011553344
730260131324063
oct4237625754000
91038771587261
10296324945920
11104741785823
124951a75b854
1321c356306b3
14104b10168da
157a94c23e9a
hex44fe57d800

296324945920 has 96 divisors (see below), whose sum is σ = 714584052000. Its totient is φ = 117933539328.

The previous prime is 296324945881. The next prime is 296324945927. The reversal of 296324945920 is 29549423692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296324945927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1965052 + ... + 2110468.

It is an arithmetic number, because the mean of its divisors is an integer number (7443583875).

Almost surely, 2296324945920 is an apocalyptic number.

296324945920 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 296324945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357292026000).

296324945920 is an abundant number, since it is smaller than the sum of its proper divisors (418259106080).

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

296324945920 is a wasteful number, since it uses less digits than its factorization.

296324945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145643 (or 145623 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 296324945920 in words is "two hundred ninety-six billion, three hundred twenty-four million, nine hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 256 320 398 512 640 796 995 1024 1280 1592 1990 2048 2560 3184 3980 5120 6368 7960 10240 12736 15920 25472 31840 50944 63680 101888 127360 145417 203776 254720 290834 407552 509440 581668 727085 1018880 1163336 1454170 2037760 2326672 2908340 4653344 5816680 9306688 11633360 18613376 23266720 28937983 37226752 46533440 57875966 74453504 93066880 115751932 144689915 148907008 186133760 231503864 289379830 297814016 372267520 463007728 578759660 744535040 926015456 1157519320 1489070080 1852030912 2315038640 3704061824 4630077280 7408123648 9260154560 14816247296 18520309120 29632494592 37040618240 59264989184 74081236480 148162472960 296324945920