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16173799264 = 257229401887
BaseRepresentation
bin11110001000000100…
…01001011101100000
31112202011212010120101
433010002021131200
5231110443034024
611232524352144
71111542011500
oct170402113540
945664763511
1016173799264
11694a762857
1231746a5654
1316a9a9892c
14ad6093a00
15649dc6c44
hex3c4089760

16173799264 has 144 divisors (see below), whose sum is σ = 38457024480. Its totient is φ = 6668390400.

The previous prime is 16173799261. The next prime is 16173799331. The reversal of 16173799264 is 46299737161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16173799261) by changing a digit.

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, 18233829 + ... + 18234715.

It is an arithmetic number, because the mean of its divisors is an integer number (267062670).

Almost surely, 216173799264 is an apocalyptic number.

16173799264 is a gapful number since it is divisible by the number (14) 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 16173799264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19228512240).

16173799264 is an abundant number, since it is smaller than the sum of its proper divisors (22283225216).

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

16173799264 is a wasteful number, since it uses less digits than its factorization.

16173799264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1326 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 55.

The spelling of 16173799264 in words is "sixteen billion, one hundred seventy-three million, seven hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 401 406 464 784 802 812 887 928 1421 1568 1604 1624 1774 2807 2842 3208 3248 3548 5614 5684 6209 6416 6496 7096 11228 11368 11629 12418 12832 14192 19649 22456 22736 23258 24836 25723 28384 39298 43463 44912 45472 46516 49672 51446 78596 81403 86926 89824 93032 99344 102892 157192 162806 173852 180061 186064 198688 205784 314384 325612 347704 355687 360122 372128 411568 569821 628768 651224 695408 711374 720244 823136 1139642 1260427 1302448 1390816 1422748 1440488 2279284 2489809 2520854 2604896 2845496 2880976 4558568 4979618 5041708 5690992 5761952 9117136 9959236 10083416 10314923 11381984 17428663 18234272 19918472 20166832 20629846 34857326 39836944 40333664 41259692 69714652 72204461 79673888 82519384 139429304 144408922 165038768 278858608 288817844 330077536 505431227 557717216 577635688 1010862454 1155271376 2021724908 2310542752 4043449816 8086899632 16173799264