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20001189376432 = 24112271201141681
BaseRepresentation
bin1001000110000111000111…
…10010011011000110110000
32121211002120021111002101201
410203003203302123012300
510110144413440021212
6110312230342340544
74133016055402435
oct443034362330660
977732507432351
1020001189376432
116411502a78170
1222b0445a2a754
13b21147828884
144d20c41c3b8c
1524a4244c3b57
hex1230e3c9b1b0

20001189376432 has 80 divisors (see below), whose sum is σ = 42466029750144. Its totient is φ = 9050428544000.

The previous prime is 20001189376387. The next prime is 20001189376451. The reversal of 20001189376432 is 23467398110002.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479842632 + ... + 479884312.

Almost surely, 220001189376432 is an apocalyptic number.

20001189376432 is a gapful number since it is divisible by the number (22) 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 20001189376432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21233014875072).

20001189376432 is an abundant number, since it is smaller than the sum of its proper divisors (22464840373712).

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

20001189376432 is a wasteful number, since it uses less digits than its factorization.

20001189376432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53938 (or 53932 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 20001189376432 in words is "twenty trillion, one billion, one hundred eighty-nine million, three hundred seventy-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 227 454 908 1816 2497 3632 4994 9988 12011 19976 24022 39952 41681 48044 83362 96088 132121 166724 192176 264242 333448 458491 528484 666896 916982 1056968 1833964 2113936 2726497 3667928 5452994 7335856 9461587 10905988 18923174 21811976 29991467 37846348 43623952 59982934 75692696 104077457 119965868 151385392 208154914 239931736 416309828 479863472 500630491 832619656 1001260982 1665239312 2002521964 4005043928 5506935401 8010087856 11013870802 22027741604 44055483208 88110966416 113643121457 227286242914 454572485828 909144971656 1250074336027 1818289943312 2500148672054 5000297344108 10000594688216 20001189376432