Search a number
-
+
3377222040270 = 2351359214368489
BaseRepresentation
bin110001001001010010000…
…111101011101011001110
3102221212012102002101211210
4301021102013223223032
5420313022320242040
611103250244555250
7465665465460201
oct61112207535316
912855172071753
103377222040270
1110922a9885871
124666409b2b26
131b66170b2360
14b965bc89938
155ccb158c480
hex312521ebace

3377222040270 has 128 divisors (see below), whose sum is σ = 8881038028800. Its totient is φ = 816832816128.

The previous prime is 3377222040173. The next prime is 3377222040319. The reversal of 3377222040270 is 720402227733.

3377222040270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33772220402702 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49276186 + ... + 49344674.

It is an arithmetic number, because the mean of its divisors is an integer number (69383109600).

Almost surely, 23377222040270 is an apocalyptic number.

3377222040270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3377222040270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440519014400).

3377222040270 is an abundant number, since it is smaller than the sum of its proper divisors (5503815988530).

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

3377222040270 is a wasteful number, since it uses less digits than its factorization.

3377222040270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70714.

The product of its (nonzero) digits is 197568, while the sum is 39.

The spelling of 3377222040270 in words is "three trillion, three hundred seventy-seven billion, two hundred twenty-two million, forty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 177 195 295 354 390 590 767 885 1534 1770 2143 2301 3835 4286 4602 6429 7670 10715 11505 12858 21430 23010 27859 32145 55718 64290 68489 83577 126437 136978 139295 167154 205467 252874 278590 342445 379311 410934 417885 632185 684890 758622 835770 890357 1027335 1264370 1643681 1780714 1896555 2054670 2671071 3287362 3793110 4040851 4451785 4931043 5342142 8081702 8218405 8903570 9862086 12122553 13355355 16436810 20204255 24245106 24655215 26710710 40408510 49310430 52531063 60612765 105062126 121225530 146771927 157593189 262655315 293543854 315186378 440315781 525310630 733859635 787965945 880631562 1467719270 1575931890 1908035051 2201578905 3816070102 4403157810 5724105153 8659543693 9540175255 11448210306 17319087386 19080350510 25978631079 28620525765 43297718465 51957262158 57241051530 86595436930 112574068009 129893155395 225148136018 259786310790 337722204027 562870340045 675444408054 1125740680090 1688611020135 3377222040270