Search a number
-
+
20127167740160 = 285133019400651
BaseRepresentation
bin1001001001110001110001…
…01011101111100100000000
32122021010201221000001011222
410210320320223233210000
510114230414420141120
6110450143200054212
74145065660000625
oct444707053574400
978233657001158
1020127167740160
11645a97a525458
122310943904368
13b2cca3474870
144d823550634c
1524d84923b525
hex124e38aef900

20127167740160 has 144 divisors (see below), whose sum is σ = 51936711072960. Its totient is φ = 7429089484800.

The previous prime is 20127167740151. The next prime is 20127167740237. The reversal of 20127167740160 is 6104776172102.

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, 50035835 + ... + 50436485.

Almost surely, 220127167740160 is an apocalyptic number.

20127167740160 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 20127167740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25968355536480).

20127167740160 is an abundant number, since it is smaller than the sum of its proper divisors (31809543332800).

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

20127167740160 is a wasteful number, since it uses less digits than its factorization.

20127167740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403704 (or 403690 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The spelling of 20127167740160 in words is "twenty trillion, one hundred twenty-seven billion, one hundred sixty-seven million, seven hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3019 3328 4160 6038 8320 12076 15095 16640 24152 30190 39247 48304 60380 78494 96608 120760 156988 193216 196235 241520 313976 386432 392470 400651 483040 627952 772864 784940 801302 966080 1255904 1569880 1602604 1932160 2003255 2511808 3139760 3205208 3864320 4006510 5023616 5208463 6279520 6410416 8013020 10047232 10416926 12559040 12820832 16026040 20833852 25118080 25641664 26042315 32052080 41667704 50236160 51283328 52084630 64104160 83335408 102566656 104169260 128208320 166670816 208338520 256416640 333341632 416677040 512833280 666683264 833354080 1209565369 1333366528 1666708160 2419130738 3333416320 4838261476 6047826845 6666832640 9676522952 12095653690 15724349797 19353045904 24191307380 31448699594 38706091808 48382614760 62897399188 77412183616 78621748985 96765229520 125794798376 154824367232 157243497970 193530459040 251589596752 309648734464 314486995940 387060918080 503179193504 628973991880 774121836160 1006358387008 1257947983760 1548243672320 2012716774016 2515895967520 4025433548032 5031791935040 10063583870080 20127167740160