Search a number
-
+
3309372961812 = 2233294912152001
BaseRepresentation
bin110000001010000101111…
…111111111010000010100
3102201101001220002002122000
4300022011333333100110
5413210043434234222
611012145511435300
7461044230020631
oct60120577772024
912641056062560
103309372961812
111066551841a05
12455466385b30
131b00c3474558
14b6262bb7188
155b13ec019ac
hex30285fff414

3309372961812 has 96 divisors (see below), whose sum is σ = 8893793865600. Its totient is φ = 1062915840000.

The previous prime is 3309372961799. The next prime is 3309372961837. The reversal of 3309372961812 is 2181692739033.

3309372961812 is a `hidden beast` number, since 3 + 3 + 0 + 9 + 3 + 7 + 2 + 9 + 618 + 12 = 666.

3309372961812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 461812 + ... + 2613812.

It is an arithmetic number, because the mean of its divisors is an integer number (92643686100).

Almost surely, 23309372961812 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 3309372961812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446896932800).

3309372961812 is an abundant number, since it is smaller than the sum of its proper divisors (5584420903788).

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

3309372961812 is a wasteful number, since it uses less digits than its factorization.

3309372961812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152534 (or 2152526 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 3309372961812 in words is "three trillion, three hundred nine billion, three hundred seventy-two million, nine hundred sixty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 491 522 783 982 1044 1473 1566 1964 2946 3132 4419 5892 8838 13257 14239 17676 26514 28478 42717 53028 56956 85434 128151 170868 256302 384453 512604 768906 1537812 2152001 4304002 6456003 8608004 12912006 19368009 25824012 38736018 58104027 62408029 77472036 116208054 124816058 187224087 232416108 249632116 374448174 561672261 748896348 1056632491 1123344522 1685016783 2113264982 2246689044 3169897473 3370033566 4226529964 6339794946 6740067132 9509692419 12679589892 19019384838 28529077257 30642342239 38038769676 57058154514 61284684478 91927026717 114116309028 122569368956 183854053434 275781080151 367708106868 551562160302 827343240453 1103124320604 1654686480906 3309372961812