Search a number
-
+
3325132851054 = 2371731150227381
BaseRepresentation
bin110000011000110001010…
…111001100011101101110
3102202212202020002102101120
4300120301113030131232
5413434333002213204
611023313412521410
7462142614614610
oct60306127143556
912685666072346
103325132851054
1110721a9898a63
12458524320266
131b173556b3c1
14b6d19cc4db0
155b7635b86d9
hex306315cc76e

3325132851054 has 64 divisors (see below), whose sum is σ = 8306973315072. Its totient is φ = 865309708800.

The previous prime is 3325132851011. The next prime is 3325132851077. The reversal of 3325132851054 is 4501582315233.

It is a happy number.

3325132851054 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 2×33251328510542 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3325132850997 and 3325132851015.

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, 75091557 + ... + 75135824.

It is an arithmetic number, because the mean of its divisors is an integer number (129796458048).

Almost surely, 23325132851054 is an apocalyptic number.

3325132851054 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3325132851054 is an abundant number, since it is smaller than the sum of its proper divisors (4981840464018).

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

3325132851054 is a wasteful number, since it uses less digits than its factorization.

3325132851054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150227441.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 3325132851054 in words is "three trillion, three hundred twenty-five billion, one hundred thirty-two million, eight hundred fifty-one thousand, fifty-four".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 651 714 1054 1302 1581 3162 3689 7378 11067 22134 150227381 300454762 450682143 901364286 1051591667 2103183334 2553865477 3154775001 4657048811 5107730954 6309550002 7661596431 9314097622 13971146433 15323192862 17877058339 27942292866 32599341677 35754116678 53631175017 65198683354 79169829787 97798025031 107262350034 158339659574 195596050062 237509489361 475018978722 554188808509 1108377617018 1662566425527 3325132851054