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20707150361120 = 2551134027284407
BaseRepresentation
bin1001011010101010000100…
…10101110111001000100000
32201022120202220121212212022
410231111002111313020200
510203231220443023440
6112012422240321012
74235020326640166
oct455250225671040
981276686555768
1020707150361120
1166639425a9893
1223a5226913168
13b728a2c50c92
1451833505d236
1525d991a58cb5
hex12d542577220

20707150361120 has 96 divisors (see below), whose sum is σ = 49365998011008. Its totient is φ = 8207493009408.

The previous prime is 20707150361119. The next prime is 20707150361137. The reversal of 20707150361120 is 2116305170702.

It is a Cunningham number, because it is equal to 45505112-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72665957 + ... + 72950363.

It is an arithmetic number, because the mean of its divisors is an integer number (514229145948).

Almost surely, 220707150361120 is an apocalyptic number.

20707150361120 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 20707150361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24682999005504).

20707150361120 is an abundant number, since it is smaller than the sum of its proper divisors (28658847649888).

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

20707150361120 is a wasteful number, since it uses less digits than its factorization.

20707150361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288562 (or 288554 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 20707150361120 in words is "twenty trillion, seven hundred seven billion, one hundred fifty million, three hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4027 4520 8054 9040 16108 18080 20135 32216 40270 64432 80540 128864 161080 284407 322160 455051 568814 644320 910102 1137628 1422035 1820204 2275255 2275256 2844070 3640408 4550510 4550512 5688140 7280816 9101020 9101024 11376280 14561632 18202040 22752560 32137991 36404080 45505120 64275982 72808160 128551964 160689955 257103928 321379910 514207856 642759820 1028415712 1145306989 1285519640 2290613978 2571039280 4581227956 5142078560 5726534945 9162455912 11453069890 18324911824 22906139780 36649823648 45812279560 91624559120 129419689757 183249118240 258839379514 517678759028 647098448785 1035357518056 1294196897570 2070715036112 2588393795140 4141430072224 5176787590280 10353575180560 20707150361120