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20125527171160 = 2351737392985411
BaseRepresentation
bin1001001001101110101101…
…11001011110000001011000
32122020222111120222111121011
410210313112321132001120
510114214034423434120
6110445312313023304
74145010216252625
oct444672671360130
978228446874534
1020125527171160
11645a208464704
1223105663b4b34
13b2caa1606288
144d811b69134c
1524d7a01c6c5a
hex124dd6e5e058

20125527171160 has 128 divisors (see below), whose sum is σ = 48126962980800. Its totient is φ = 7548134031360.

The previous prime is 20125527171137. The next prime is 20125527171203. The reversal of 20125527171160 is 6117172552102.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 235588855 + ... + 235674265.

Almost surely, 220125527171160 is an apocalyptic number.

20125527171160 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 20125527171160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24063481490400).

20125527171160 is an abundant number, since it is smaller than the sum of its proper divisors (28001435809640).

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

20125527171160 is a wasteful number, since it uses less digits than its factorization.

20125527171160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86741 (or 86737 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

The spelling of 20125527171160 in words is "twenty trillion, one hundred twenty-five billion, five hundred twenty-seven million, one hundred seventy-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 373 680 746 929 1492 1858 1865 2984 3716 3730 4645 6341 7432 7460 9290 12682 14920 15793 18580 25364 31586 31705 37160 50728 63172 63410 78965 85411 126344 126820 157930 170822 253640 315860 341644 346517 427055 631720 683288 693034 854110 1386068 1451987 1708220 1732585 2772136 2903974 3416440 3465170 5807948 5890789 6930340 7259935 11615896 11781578 13860680 14519870 23563156 29039740 29453945 31858303 47126312 58079480 58907890 63716606 79346819 117815780 127433212 158693638 159291515 235631560 254866424 317387276 318583030 396734095 541591151 634774552 637166060 793468190 1083182302 1274332120 1348895923 1586936380 2166364604 2697791846 2707955755 3173872760 4332729208 5395583692 5415911510 6744479615 10791167384 10831823020 13488959230 21663646040 26977918460 29596363487 53955836920 59192726974 118385453948 147981817435 236770907896 295963634870 503138179279 591927269740 1006276358558 1183854539480 2012552717116 2515690896395 4025105434232 5031381792790 10062763585580 20125527171160