Search a number
-
+
20823674455140 = 22351924632076433
BaseRepresentation
bin1001011110000011000111…
…01110000000010001100100
32201201201112200021011202020
410233001203232000101210
510212133341130031030
6112142133004143140
74246314031253004
oct457014356002144
981651480234666
1020823674455140
1166a92a83a3337
122403926537ab0
13b80882c8673b
1451dc2a8ba004
15261a117b1510
hex12f063b80464

20823674455140 has 144 divisors (see below), whose sum is σ = 61669491787008. Its totient is φ = 5249352987648.

The previous prime is 20823674455079. The next prime is 20823674455189. The reversal of 20823674455140 is 4155447632802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8990364 + ... + 11066796.

It is an arithmetic number, because the mean of its divisors is an integer number (428260359632).

Almost surely, 220823674455140 is an apocalyptic number.

20823674455140 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 20823674455140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30834745893504).

20823674455140 is an abundant number, since it is smaller than the sum of its proper divisors (40845817331868).

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

20823674455140 is a wasteful number, since it uses less digits than its factorization.

20823674455140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076946 (or 2076925 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 20823674455140 in words is "twenty trillion, eight hundred twenty-three billion, six hundred seventy-four million, four hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 463 570 722 926 1083 1140 1389 1444 1805 1852 2166 2315 2778 3610 4332 4630 5415 5556 6945 7220 8797 9260 10830 13890 17594 21660 26391 27780 35188 43985 52782 87970 105564 131955 167143 175940 263910 334286 501429 527820 668572 835715 1002858 1671430 2005716 2076433 2507145 3342860 4152866 5014290 6229299 8305732 10028580 10382165 12458598 20764330 24917196 31146495 39452227 41528660 62292990 78904454 118356681 124585980 157808908 197261135 236713362 394522270 473426724 591783405 749592313 789044540 961388479 1183566810 1499184626 1922776958 2248776939 2367133620 2884165437 2998369252 3747961565 3845553916 4497553878 4806942395 5768330874 7495923130 8995107756 9613884790 11243884695 11536661748 14420827185 14991846260 18266381101 19227769580 22487769390 28841654370 36532762202 44975538780 54799143303 57683308740 73065524404 91331905505 109598286606 182663811010 219196573212 273995716515 347061240919 365327622020 547991433030 694122481838 1041183722757 1095982866060 1388244963676 1735306204595 2082367445514 3470612409190 4164734891028 5205918613785 6941224818380 10411837227570 20823674455140