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3930216261072 = 243312471812817
BaseRepresentation
bin111001001100010011001…
…001001110010111010000
3111220201120112021110110220
4321030103021032113100
51003343040330323242
612205303314153040
7553643265005163
oct71142311162720
914821515243426
103930216261072
111285882689762
12535851582780
1322680540ca1a
14d831b33dada
156c379866bec
hex3931324e5d0

3930216261072 has 120 divisors (see below), whose sum is σ = 10714363486848. Its totient is φ = 1240836295680.

The previous prime is 3930216261071. The next prime is 3930216261073. The reversal of 3930216261072 is 2701626120393.

It is an interprime number because it is at equal distance from previous prime (3930216261071) and next prime (3930216261073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930216261071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1261608 + ... + 3074424.

Almost surely, 23930216261072 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 3930216261072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357181743424).

3930216261072 is an abundant number, since it is smaller than the sum of its proper divisors (6784147225776).

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

3930216261072 is a wasteful number, since it uses less digits than its factorization.

3930216261072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812937 (or 1812900 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 3930216261072 in words is "three trillion, nine hundred thirty billion, two hundred sixteen million, two hundred sixty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 248 282 372 376 496 564 744 752 961 1128 1457 1488 1922 2256 2883 2914 3844 4371 5766 5828 7688 8742 11532 11656 15376 17484 23064 23312 34968 45167 46128 69936 90334 135501 180668 271002 361336 542004 722672 1084008 1812817 2168016 3625634 5438451 7251268 10876902 14502536 21753804 29005072 43507608 56197327 85202399 87015216 112394654 168591981 170404798 224789308 255607197 337183962 340809596 449578616 511214394 674367924 681619192 899157232 1022428788 1348735848 1363238384 1742117137 2044857576 2641274369 2697471696 3484234274 4089715152 5226351411 5282548738 6968468548 7923823107 10452702822 10565097476 13936937096 15847646214 20905405644 21130194952 27873874192 31695292428 41810811288 42260389904 63390584856 81879505439 83621622576 126781169712 163759010878 245638516317 327518021756 491277032634 655036043512 982554065268 1310072087024 1965108130536 3930216261072