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20573009640 = 2333523828221
BaseRepresentation
bin10011001010001111…
…110011011011101000
31222002202202011201000
4103022033303123220
5314113142302030
613241234555000
71325550460641
oct231217633350
958082664630
1020573009640
1187a7a22707
123ba1a38a60
131c2b3133b1
14dd24446c8
15806206860
hex4ca3f36e8

20573009640 has 128 divisors (see below), whose sum is σ = 71558380800. Its totient is φ = 5247601920.

The previous prime is 20573009603. The next prime is 20573009657. The reversal of 20573009640 is 4690037502.

20573009640 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 3 + 0 + 0 + 9 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20573009595 and 20573009604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389271 + ... + 438950.

It is an arithmetic number, because the mean of its divisors is an integer number (559049850).

Almost surely, 220573009640 is an apocalyptic number.

20573009640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20573009640 is an abundant number, since it is smaller than the sum of its proper divisors (50985371160).

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

20573009640 is a wasteful number, since it uses less digits than its factorization.

20573009640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828264 (or 828254 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20573009640 in words is "twenty billion, five hundred seventy-three million, nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 6210 8280 12420 24840 828221 1656442 2484663 3312884 4141105 4969326 6625768 7453989 8282210 9938652 12423315 14907978 16564420 19049083 19877304 22361967 24846630 29815956 33128840 37269945 38098166 44723934 49693260 57147249 59631912 74539890 76196332 89447868 95245415 99386520 111809835 114294498 149079780 152392664 171441747 178895736 190490830 223619670 228588996 285736245 298159560 342883494 380981660 447239340 457177992 514325241 571472490 685766988 761963320 857208735 894478680 1028650482 1142944980 1371533976 1714417470 2057300964 2285889960 2571626205 3428834940 4114601928 5143252410 6857669880 10286504820 20573009640