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2098934784 = 210321713397
BaseRepresentation
bin111110100011011…
…0011010000000000
312102021111221020100
41331012303100000
513244311403114
6544135242400
7103004436252
oct17506632000
95367457210
102098934784
11987880851
124a6b19400
13275b0705b
1415ca8dcd2
15c4406909
hex7d1b3400

2098934784 has 132 divisors (see below), whose sum is σ = 6417615204. Its totient is φ = 658440192.

The previous prime is 2098934777. The next prime is 2098934797. The reversal of 2098934784 is 4874398902.

It can be written as a sum of positive squares in 2 ways, for example, as 732893184 + 1366041600 = 27072^2 + 36960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2098934784.

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 11 ways as a sum of consecutive naturals, for example, 149974 + ... + 163370.

It is an arithmetic number, because the mean of its divisors is an integer number (48618297).

Almost surely, 22098934784 is an apocalyptic number.

2098934784 is a gapful number since it is divisible by the number (24) 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 2098934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208807602).

2098934784 is an abundant number, since it is smaller than the sum of its proper divisors (4318680420).

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

2098934784 is a wasteful number, since it uses less digits than its factorization.

2098934784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13440 (or 13419 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2098934784 is about 45814.1330159155. The cubic root of 2098934784 is about 1280.3626056027.

The spelling of 2098934784 in words is "two billion, ninety-eight million, nine hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 13397 17408 19584 26112 26794 39168 40191 52224 53588 78336 80382 107176 120573 156672 160764 214352 227749 241146 321528 428704 455498 482292 643056 683247 857408 910996 964584 1286112 1366494 1714816 1821992 1929168 2049741 2572224 2732988 3429632 3643984 3858336 4099482 5144448 5465976 6859264 7287968 7716672 8198964 10288896 10931952 13718528 14575936 15433344 16397928 20577792 21863904 29151872 30866688 32795856 41155584 43727808 58303744 61733376 65591712 87455616 116607488 123466752 131183424 174911232 233214976 262366848 349822464 524733696 699644928 1049467392 2098934784