Search a number
-
+
2946693601628 = 227331317942771
BaseRepresentation
bin101010111000010100101…
…000000001100101011100
3101102200221010212122221022
4222320110220001211130
5341234312030223003
610133405314223312
7422614546226660
oct52702450014534
911380833778838
102946693601628
11a3675a799697
123b7109884b38
13184b44a7a74a
14a28994028a0
15519b4985738
hex2ae14a0195c

2946693601628 has 24 divisors (see below), whose sum is σ = 5911192017024. Its totient is φ = 1259053369200.

The previous prime is 2946693601627. The next prime is 2946693601633. The reversal of 2946693601628 is 8261063966492.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946693601627) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 158962118 + ... + 158980653.

It is an arithmetic number, because the mean of its divisors is an integer number (246299667376).

Almost surely, 22946693601628 is an apocalyptic number.

2946693601628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2946693601628 is an abundant number, since it is smaller than the sum of its proper divisors (2964498415396).

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

2946693601628 is a wasteful number, since it uses less digits than its factorization.

2946693601628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317943113 (or 317943111 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 62.

The spelling of 2946693601628 in words is "two trillion, nine hundred forty-six billion, six hundred ninety-three million, six hundred one thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 331 662 1324 2317 4634 9268 317942771 635885542 1271771084 2225599397 4451198794 8902397588 105239057201 210478114402 420956228804 736673400407 1473346800814 2946693601628