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315055768350 = 235231310496397
BaseRepresentation
bin1001001010110101100…
…10011000001100011110
31010010012210000022020010
410211122302120030132
520130213234041400
6400422402304050
731522242562611
oct4453262301436
91103183008203
10315055768350
11111683849964
1251087658026
132392c0a278b
141136a922178
1582de33c450
hex495ac9831e

315055768350 has 96 divisors (see below), whose sum is σ = 784704463200. Its totient is φ = 83653539840.

The previous prime is 315055768283. The next prime is 315055768361. The reversal of 315055768350 is 53867550513.

It is a self number, because there is not a number n which added to its sum of digits gives 315055768350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49247352 + ... + 49253748.

It is an arithmetic number, because the mean of its divisors is an integer number (8174004825).

Almost surely, 2315055768350 is an apocalyptic number.

315055768350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315055768350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392352231600).

315055768350 is an abundant number, since it is smaller than the sum of its proper divisors (469648694850).

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

315055768350 is a wasteful number, since it uses less digits than its factorization.

315055768350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 48.

The spelling of 315055768350 in words is "three hundred fifteen billion, fifty-five million, seven hundred sixty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 313 626 939 1049 1565 1878 2098 3130 3147 4695 5245 6294 6397 7825 9390 10490 12794 15650 15735 19191 23475 26225 31470 31985 38382 46950 52450 63970 78675 95955 157350 159925 191910 319850 328337 479775 656674 959550 985011 1641685 1970022 2002261 3283370 4004522 4925055 6006783 6710453 8208425 9850110 10011305 12013566 13420906 16416850 20022610 20131359 24625275 30033915 33552265 40262718 49250550 50056525 60067830 67104530 100113050 100656795 150169575 167761325 201313590 300339150 335522650 503283975 1006567950 2100371789 4200743578 6301115367 10501858945 12602230734 21003717890 31505576835 52509294725 63011153670 105018589450 157527884175 315055768350