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147728706496 = 267477978803
BaseRepresentation
bin1000100110010101010…
…0010010101111000000
3112010022110121211220221
42021211110102233000
54410022022101441
6151510550512424
713446566200210
oct2114524225700
9463273554827
10147728706496
1157719004788
122476a065714
1310c13b485c7
147215c76240
153c994cd8d1
hex2265512bc0

147728706496 has 112 divisors (see below), whose sum is σ = 342624070656. Its totient is φ = 61880454144.

The previous prime is 147728706469. The next prime is 147728706509. The reversal of 147728706496 is 694607827741.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16777231 + ... + 16786033.

It is an arithmetic number, because the mean of its divisors is an integer number (3059143488).

Almost surely, 2147728706496 is an apocalyptic number.

147728706496 is a gapful number since it is divisible by the number (16) 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 147728706496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171312035328).

147728706496 is an abundant number, since it is smaller than the sum of its proper divisors (194895364160).

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

147728706496 is an equidigital number, since it uses as much as digits as its factorization.

147728706496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9666 (or 9656 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 61.

The spelling of 147728706496 in words is "one hundred forty-seven billion, seven hundred twenty-eight million, seven hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 797 1316 1504 1594 2632 3008 3188 5264 5579 6376 8803 10528 11158 12752 17606 21056 22316 25504 35212 37459 44632 51008 61621 70424 74918 89264 123242 140848 149836 178528 246484 262213 281696 299672 357056 413741 492968 524426 563392 599344 827482 985936 1048852 1198688 1654964 1971872 2097704 2397376 2896187 3309928 3943744 4195408 5792374 6619856 7015991 8390816 11584748 13239712 14031982 16781632 23169496 26479424 28063964 46338992 49111937 56127928 92677984 98223874 112255856 185355968 196447748 224511712 329751577 392895496 449023424 659503154 785790992 1319006308 1571581984 2308261039 2638012616 3143163968 4616522078 5276025232 9233044156 10552050464 18466088312 21104100928 36932176624 73864353248 147728706496