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2350132664 = 2311243131431
BaseRepresentation
bin1000110000010100…
…0010110110111000
320001210012002221112
42030011002312320
514303113221124
61025111255452
7112144540505
oct21405026670
96053162845
102350132664
11aa6652500
1255707a588
132b5b78a59
1418419c4ac
15db4c590e
hex8c142db8

2350132664 has 96 divisors (see below), whose sum is σ = 5005566720. Its totient is φ = 1033032000.

The previous prime is 2350132657. The next prime is 2350132679. The reversal of 2350132664 is 4662310532.

It is a self number, because there is not a number n which added to its sum of digits gives 2350132664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5452529 + ... + 5452959.

It is an arithmetic number, because the mean of its divisors is an integer number (52141320).

Almost surely, 22350132664 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 2350132664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502783360).

2350132664 is an abundant number, since it is smaller than the sum of its proper divisors (2655434056).

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

2350132664 is a wasteful number, since it uses less digits than its factorization.

2350132664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 2350132664 is about 48478.1668795345. The cubic root of 2350132664 is about 1329.5279128024.

It can be divided in two parts, 23501 and 32664, that added together give a palindrome (56165).

The spelling of 2350132664 in words is "two billion, three hundred fifty million, one hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 131 172 242 262 344 431 473 484 524 862 946 968 1048 1441 1724 1892 2882 3448 3784 4741 5203 5633 5764 9482 10406 11266 11528 15851 18533 18964 20812 22532 31702 37066 37928 41624 45064 52151 56461 61963 63404 74132 104302 112922 123926 126808 148264 203863 208604 225844 247852 407726 417208 451688 495704 621071 681593 815452 1242142 1363186 1630904 2242493 2427823 2484284 2726372 4484986 4855646 4968568 5452744 6831781 8969972 9711292 13663562 17939944 19422584 26706053 27327124 53412106 54654248 106824212 213648424 293766583 587533166 1175066332 2350132664