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245346315000 = 23354145311257
BaseRepresentation
bin1110010001111111000…
…1111010101011111000
3212110021121101011102120
43210133301322223320
513004432124040000
6304413251001240
723503624161003
oct3443761725370
9773247334376
10245346315000
1195061664896
123b671b99220
131a19cbc6127
14bc3673c53a
1565ae4be6a0
hex391fc7aaf8

245346315000 has 160 divisors (see below), whose sum is σ = 767057525520. Its totient is φ = 65374848000.

The previous prime is 245346314963. The next prime is 245346315007. The reversal of 245346315000 is 513643542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245346315007) 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 39 ways as a sum of consecutive naturals, for example, 21789372 + ... + 21800628.

Almost surely, 2245346315000 is an apocalyptic number.

245346315000 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 245346315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383528762760).

245346315000 is an abundant number, since it is smaller than the sum of its proper divisors (521711210520).

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

245346315000 is a wasteful number, since it uses less digits than its factorization.

245346315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12739 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 245346315000 its reverse (513643542), we get a palindrome (245859958542).

The spelling of 245346315000 in words is "two hundred forty-five billion, three hundred forty-six million, three hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1453 1500 1875 2500 2906 3000 3750 4359 5000 5812 7265 7500 8718 11257 11624 14530 15000 17436 21795 22514 29060 33771 34872 36325 43590 45028 56285 58120 67542 72650 87180 90056 108975 112570 135084 145300 168855 174360 181625 217950 225140 270168 281425 290600 337710 363250 435900 450280 544875 562850 675420 726500 844275 871800 908125 1089750 1125700 1350840 1407125 1453000 1688550 1816250 2179500 2251400 2724375 2814250 3377100 3632500 4221375 4359000 5448750 5628500 6754200 7035625 7265000 8442750 10897500 11257000 14071250 16356421 16885500 21106875 21795000 28142500 32712842 33771000 42213750 49069263 56285000 65425684 81782105 84427500 98138526 130851368 163564210 168855000 196277052 245346315 327128420 392554104 408910525 490692630 654256840 817821050 981385260 1226731575 1635642100 1962770520 2044552625 2453463150 3271284200 4089105250 4906926300 6133657875 8178210500 9813852600 10222763125 12267315750 16356421000 20445526250 24534631500 30668289375 40891052500 49069263000 61336578750 81782105000 122673157500 245346315000