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147168727360 = 26523169711783
BaseRepresentation
bin1000100100001111110…
…0001001000101000000
3112001212102220221221221
42021003330021011000
54402400143233420
6151335224324424
713426656354034
oct2110374110500
9461772827857
10147168727360
1157460a01106
1224632613714
1310b54b22bc5
1471a174a1c4
153c65268caa
hex2243f09140

147168727360 has 112 divisors (see below), whose sum is σ = 365928834816. Its totient is φ = 56270077952.

The previous prime is 147168727313. The next prime is 147168727427. The reversal of 147168727360 is 63727861741.

It is a junction number, because it is equal to n+sod(n) for n = 147168727298 and 147168727307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12484029 + ... + 12495811.

Almost surely, 2147168727360 is an apocalyptic number.

147168727360 is a gapful number since it is divisible by the number (10) 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 147168727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182964417408).

147168727360 is an abundant number, since it is smaller than the sum of its proper divisors (218760107456).

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

147168727360 is a wasteful number, since it uses less digits than its factorization.

147168727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13520 (or 13510 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 147168727360 in words is "one hundred forty-seven billion, one hundred sixty-eight million, seven hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1697 1840 3394 3680 6788 7360 8485 11783 13576 16970 23566 27152 33940 39031 47132 54304 58915 67880 78062 94264 108608 117830 135760 156124 188528 195155 235660 271009 271520 312248 377056 390310 471320 542018 543040 624496 754112 780620 942640 1084036 1248992 1355045 1561240 1885280 2168072 2497984 2710090 3122480 3770560 4336144 5420180 6244960 8672288 10840360 12489920 17344576 19995751 21680720 39991502 43361440 79983004 86722880 99978755 159966008 199957510 319932016 399915020 459902273 639864032 799830040 919804546 1279728064 1599660080 1839609092 2299511365 3199320160 3679218184 4599022730 6398640320 7358436368 9198045460 14716872736 18396090920 29433745472 36792181840 73584363680 147168727360