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213396049024 = 27238929151
BaseRepresentation
bin1100011010111101100…
…1010100110010000000
3202101210221022111002021
43012233121110302000
511444013342032044
6242011025531224
721263103326344
oct3065731246200
9671727274067
10213396049024
11825565630a4
1235435aa3b14
131717a77acc2
14a4852a3624
15583e558e84
hex31af654c80

213396049024 has 96 divisors (see below), whose sum is σ = 448698032640. Its totient is φ = 100901222400.

The previous prime is 213396048947. The next prime is 213396049037. The reversal of 213396049024 is 420940693312.

It is a super-2 number, since 2×2133960490242 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 23314849 + ... + 23323999.

It is an arithmetic number, because the mean of its divisors is an integer number (4673937840).

Almost surely, 2213396049024 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 213396049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224349016320).

213396049024 is an abundant number, since it is smaller than the sum of its proper divisors (235301983616).

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

213396049024 is an frugal number, since it uses more digits than its factorization.

213396049024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 213396049024 in words is "two hundred thirteen billion, three hundred ninety-six million, forty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 356 368 712 736 1424 1472 2047 2848 2944 4094 5696 7921 8188 9151 11392 15842 16376 18302 31684 32752 36604 63368 65504 73208 126736 131008 146416 182183 210473 253472 262016 292832 364366 420946 506944 585664 728732 814439 841892 1013888 1171328 1457464 1628878 1683784 2914928 3257756 3367568 5829856 6515512 6735136 11659712 13031024 13470272 18732097 23319424 26062048 26940544 37464194 52124096 72485071 74928388 104248192 144970142 149856776 289940284 299713552 579880568 599427104 1159761136 1198854208 1667156633 2319522272 2397708416 3334313266 4639044544 6668626532 9278089088 13337253064 26674506128 53349012256 106698024512 213396049024