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4132399769220 = 2235127620387427
BaseRepresentation
bin111100001000100110001…
…110000110011010000100
3112122001110001012212001110
4330020212032012122010
51020201123320103340
612442222004325020
7604361501323152
oct74104616063204
915561401185043
104132399769220
1113535a4a35948
12568a783a3770
1323c8b6c07b48
1410401b4083d2
157275e84b680
hex3c226386684

4132399769220 has 96 divisors (see below), whose sum is σ = 11663840821248. Its totient is φ = 1093107560832.

The previous prime is 4132399769203. The next prime is 4132399769233. The reversal of 4132399769220 is 229679932314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47223147 + ... + 47310573.

It is an arithmetic number, because the mean of its divisors is an integer number (121498341888).

Almost surely, 24132399769220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132399769220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831920410624).

4132399769220 is an abundant number, since it is smaller than the sum of its proper divisors (7531441052028).

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

4132399769220 is a wasteful number, since it uses less digits than its factorization.

4132399769220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93769 (or 93767 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 4132399769220 in words is "four trillion, one hundred thirty-two billion, three hundred ninety-nine million, seven hundred sixty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 6203 7620 12406 18609 24812 31015 37218 62030 74436 87427 93045 124060 174854 186090 262281 349708 372180 437135 524562 787781 874270 1049124 1311405 1575562 1748540 2363343 2622810 3151124 3938905 4726686 5245620 7877810 9453372 11103229 11816715 15755620 22206458 23633430 33309687 44412916 47266860 55516145 66619374 111032290 133238748 166548435 222064580 333096870 542309681 666193740 1084619362 1626929043 2169238724 2711548405 3253858086 5423096810 6507716172 8134645215 10846193620 16269290430 32538580860 68873329487 137746658974 206619988461 275493317948 344366647435 413239976922 688733294870 826479953844 1033099942305 1377466589740 2066199884610 4132399769220