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23464209293312 = 21310924912
BaseRepresentation
bin1010101010111001011111…
…10111000010000000000000
310002002011020002102012202012
411111130233313002000000
511033414200034341222
6121523150421512052
74641142660122614
oct525345767020000
9102064202365665
1023464209293312
11752712a487577
12276b630272628
131012885c8cb48
145b1960c41344
152aa55803e1e2
hex15572fdc2000

23464209293312 has 126 divisors (see below), whose sum is σ = 47456666293869. Its totient is φ = 11600795566080.

The previous prime is 23464209293299. The next prime is 23464209293353. The reversal of 23464209293312 is 21339290246432.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

23464209293312 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22515252760576 + 948956532736 = 4745024^2 + 974144^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3425216.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47788613387 + ... + 47788613877.

Almost surely, 223464209293312 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 23464209293312

23464209293312 is an abundant number, since it is smaller than the sum of its proper divisors (23992457000557).

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

23464209293312 is an frugal number, since it uses more digits than its factorization.

23464209293312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 50.

The spelling of 23464209293312 in words is "twenty-three trillion, four hundred sixty-four billion, two hundred nine million, two hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 491 512 872 982 1024 1744 1964 2048 3488 3928 4096 6976 7856 8192 11881 13952 15712 23762 27904 31424 47524 53519 55808 62848 95048 107038 111616 125696 190096 214076 223232 241081 251392 380192 428152 446464 482162 502784 760384 856304 892928 964324 1005568 1520768 1712608 1928648 2011136 3041536 3425216 3857296 4022272 5833571 6083072 6850432 7714592 11667142 12166144 13700864 15429184 23334284 24332288 26277829 27401728 30858368 46668568 48664576 52555658 54803456 61716736 93337136 97329152 105111316 109606912 123433472 186674272 210222632 219213824 246866944 373348544 420445264 438427648 493733888 746697088 840890528 987467776 1493394176 1681781056 1974935552 2864283361 2986788352 3363562112 5728566722 5973576704 6727124224 11457133444 11947153408 13454248448 22914266888 23894306816 26908496896 45828533776 47788613632 53816993792 91657067552 107633987584 183314135104 215267975168 366628270208 733256540416 1466513080832 2933026161664 5866052323328 11732104646656 23464209293312