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147085857160 = 235116124122739
BaseRepresentation
bin1000100011111100000…
…0000001000110001000
3112001122122222201102021
42020333000001012020
54402212434412120
6151323104214224
713424632104664
oct2107700010610
9461578881367
10147085857160
115741914a540
122460a90a374
1310b408c9298
1471947378a4
153c5cd49aaa
hex223f001188

147085857160 has 128 divisors (see below), whose sum is σ = 368486236800. Its totient is φ = 52388352000.

The previous prime is 147085857151. The next prime is 147085857223. The reversal of 147085857160 is 61758580741.

It is a junction number, because it is equal to n+sod(n) for n = 147085857098 and 147085857107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6457071 + ... + 6479809.

It is an arithmetic number, because the mean of its divisors is an integer number (2878798725).

Almost surely, 2147085857160 is an apocalyptic number.

147085857160 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 147085857160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184243118400).

147085857160 is an abundant number, since it is smaller than the sum of its proper divisors (221400379640).

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

147085857160 is a wasteful number, since it uses less digits than its factorization.

147085857160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23063 (or 23059 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 52.

The spelling of 147085857160 in words is "one hundred forty-seven billion, eighty-five million, eight hundred fifty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 241 244 305 440 482 488 610 671 964 1205 1220 1342 1928 2410 2440 2651 2684 3355 4820 5302 5368 6710 9640 10604 13255 13420 14701 21208 22739 26510 26840 29402 45478 53020 58804 73505 90956 106040 113695 117608 147010 161711 181912 227390 250129 294020 323422 454780 500258 588040 646844 808555 909560 1000516 1250645 1293688 1387079 1617110 2001032 2501290 2774158 3234220 5002580 5480099 5548316 6468440 6935395 10005160 10960198 11096632 13870790 15257869 21920396 27400495 27741580 30515738 43840792 54800990 55483160 60281089 61031476 76289345 109601980 120562178 122062952 152578690 219203960 241124356 301405445 305157380 334286039 482248712 602810890 610314760 668572078 1205621780 1337144156 1671430195 2411243560 2674288312 3342860390 3677146429 6685720780 7354292858 13371441560 14708585716 18385732145 29417171432 36771464290 73542928580 147085857160