Search a number
-
+
20777771581470 = 23351311192749253
BaseRepresentation
bin1001011100101101100111…
…01100011100000000011110
32201120100001121220120212000
410232112303230130000132
510210410334011101340
6112105102042223130
74243100356256661
oct456266354340036
981510047816760
1020777771581470
116690892422a02
1223b6a557b4aa6
13b79448cb3c27
1451b9143836d8
15260726979d30
hex12e5b3b1c01e

20777771581470 has 128 divisors (see below), whose sum is σ = 55836162708480. Its totient is φ = 5497870734720.

The previous prime is 20777771581447. The next prime is 20777771581471. The reversal of 20777771581470 is 7418517777702.

20777771581470 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 7 + 7 + 7 + 1 + 581 + 47 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20777771581398 and 20777771581407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20777771581471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421833364 + ... + 421882616.

It is an arithmetic number, because the mean of its divisors is an integer number (436220021160).

Almost surely, 220777771581470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20777771581470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27918081354240).

20777771581470 is an abundant number, since it is smaller than the sum of its proper divisors (35058391127010).

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

20777771581470 is a wasteful number, since it uses less digits than its factorization.

20777771581470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61327 (or 61321 counting only the distinct ones).

The product of its (nonzero) digits is 37647680, while the sum is 63.

The spelling of 20777771581470 in words is "twenty trillion, seven hundred seventy-seven billion, seven hundred seventy-one million, five hundred eighty-one thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 131 135 262 270 393 655 786 1179 1310 1965 2358 3537 3930 5895 7074 11790 11927 17685 23854 35370 35781 49253 59635 71562 98506 107343 119270 147759 178905 214686 246265 295518 322029 357810 443277 492530 536715 644058 738795 886554 1073430 1329831 1477590 1562437 1610145 2216385 2659662 3124874 3220290 4432770 4687311 6452143 6649155 7812185 9374622 12904286 13298310 14061933 15624370 19356429 23436555 28123866 32260715 38712858 42185799 46873110 58069287 64521430 70309665 84371598 96782145 116138574 140619330 174207861 193564290 210928995 290346435 348415722 421857990 580692870 587440531 871039305 1174881062 1742078610 1762321593 2937202655 3524643186 5286964779 5874405310 8811607965 10573929558 15860894337 17623215930 26434823895 31721788674 52869647790 76954709561 79304471685 153909419122 158608943370 230864128683 384773547805 461728257366 692592386049 769547095610 1154320643415 1385184772098 2077777158147 2308641286830 3462961930245 4155554316294 6925923860490 10388885790735 20777771581470