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4932576422000 = 245341149940129
BaseRepresentation
bin100011111000111010001…
…1101110010100001110000
3122110112211201202111002122
41013301310131302201300
51121303404031001000
614253554435133412
71016236561542653
oct107616435624160
918415751674078
104932576422000
111631991886477
12677b71a44268
1329a1a8655996
14130a48dd589a
15884933d5085
hex47c74772870

4932576422000 has 160 divisors (see below), whose sum is σ = 12226326840000. Its totient is φ = 1923575808000.

The previous prime is 4932576421991. The next prime is 4932576422057. The reversal of 4932576422000 is 2246752394.

It is a super-3 number, since 3×49325764220003 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122897936 + ... + 122938064.

It is an arithmetic number, because the mean of its divisors is an integer number (76414542750).

Almost surely, 24932576422000 is an apocalyptic number.

4932576422000 is a gapful number since it is divisible by the number (40) 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 4932576422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113163420000).

4932576422000 is an abundant number, since it is smaller than the sum of its proper divisors (7293750418000).

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

4932576422000 is a wasteful number, since it uses less digits than its factorization.

4932576422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41692 (or 41676 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 4932576422000 in words is "four trillion, nine hundred thirty-two billion, five hundred seventy-six million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1499 1640 2000 2050 2998 3280 4100 5125 5996 7495 8200 10250 11992 14990 16400 20500 23984 29980 37475 40129 41000 59960 61459 74950 80258 82000 119920 122918 149900 160516 187375 200645 245836 299800 307295 321032 374750 401290 491672 599600 614590 642064 749500 802580 983344 1003225 1229180 1499000 1536475 1605160 1645289 2006450 2458360 2998000 3072950 3210320 3290578 4012900 4916720 5016125 6145900 6581156 7682375 8025800 8226445 10032250 12291800 13162312 15364750 16051600 16452890 20064500 24583600 26324624 30729500 32905780 40129000 41132225 60153371 61459000 65811560 80258000 82264450 120306742 122918000 131623120 164528900 205661125 240613484 300766855 329057800 411322250 481226968 601533710 658115600 822644500 962453936 1203067420 1503834275 1645289000 2406134840 2466288211 3007668550 3290578000 4812269680 4932576422 6015337100 7519171375 9865152844 12030674200 12331441055 15038342750 19730305688 24061348400 24662882110 30076685500 39460611376 49325764220 60153371000 61657205275 98651528440 120306742000 123314410550 197303056880 246628821100 308286026375 493257642200 616572052750 986515284400 1233144105500 2466288211000 4932576422000