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16246342632 = 23313479108709
BaseRepresentation
bin11110010000101101…
…11000001111101000
31112221020100201100210
433020112320033220
5231233030431012
611244035301120
71113412430262
oct171026701750
945836321323
1016246342632
116987700753
123194a4a7a0
1316bbb17cc0
14b01978b32
1565145623c
hex3c85b83e8

16246342632 has 64 divisors (see below), whose sum is σ = 43831872000. Its totient is φ = 4988392704.

The previous prime is 16246342627. The next prime is 16246342703. The reversal of 16246342632 is 23624364261.

16246342632 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 (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 95094 + ... + 203802.

It is an arithmetic number, because the mean of its divisors is an integer number (684873000).

Almost surely, 216246342632 is an apocalyptic number.

16246342632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16246342632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21915936000).

16246342632 is an abundant number, since it is smaller than the sum of its proper divisors (27585529368).

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

16246342632 is a wasteful number, since it uses less digits than its factorization.

16246342632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109210 (or 109206 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The spelling of 16246342632 in words is "sixteen billion, two hundred forty-six million, three hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 479 958 1437 1916 2874 3832 5748 6227 11496 12454 18681 24908 37362 49816 74724 108709 149448 217418 326127 434836 652254 869672 1304508 1413217 2609016 2826434 4239651 5652868 8479302 11305736 16958604 33917208 52071611 104143222 156214833 208286444 312429666 416572888 624859332 676930943 1249718664 1353861886 2030792829 2707723772 4061585658 5415447544 8123171316 16246342632