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20748148548174 = 23223415232337187
BaseRepresentation
bin1001011011110110011100…
…00001100010001001001110
32201110111121010221120120200
410231323032001202021032
510204414202012020144
6112043322353554330
74241001314531265
oct455731601421116
981414533846520
1020748148548174
11667a270a52603
1223b1168b759a6
13b76707a57468
1451a3040255dc
1525ea90eb4c69
hex12dece06224e

20748148548174 has 96 divisors (see below), whose sum is σ = 48144876159744. Its totient is φ = 6441658565760.

The previous prime is 20748148547993. The next prime is 20748148548191. The reversal of 20748148548174 is 47184584184702.

20748148548174 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 8 + 1 + 4 + 85 + 481 + 74 = 666.

It is a congruent number.

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, 7708809 + ... + 10045995.

It is an arithmetic number, because the mean of its divisors is an integer number (501509126664).

Almost surely, 220748148548174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20748148548174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24072438079872).

20748148548174 is an abundant number, since it is smaller than the sum of its proper divisors (27396727611570).

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

20748148548174 is a wasteful number, since it uses less digits than its factorization.

20748148548174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337782 (or 2337779 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 63.

The spelling of 20748148548174 in words is "twenty trillion, seven hundred forty-eight billion, one hundred forty-eight million, five hundred forty-eight thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 414 523 738 943 1046 1569 1886 2829 3138 4707 5658 8487 9414 12029 16974 21443 24058 36087 42886 64329 72174 108261 128658 192987 216522 385974 493189 986378 1479567 2337187 2959134 4438701 4674374 7011561 8877402 14023122 21034683 42069366 53755301 95824667 107510602 161265903 191649334 287474001 322531806 483797709 574948002 862422003 967595418 1222348801 1724844006 2203967341 2444697602 3667046403 4407934682 6611902023 7334092806 11001139209 13223804046 19835706069 22002278418 28114022423 39671412138 50116300841 56228044846 84342067269 100232601682 150348902523 168684134538 253026201807 300697805046 451046707569 506052403614 902093415138 1152674919343 2305349838686 3458024758029 6916049516058 10374074274087 20748148548174