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23434796905416 = 23321369973578273
BaseRepresentation
bin1010101010000010101101…
…01111101011001111001000
310001222100022021211002122100
411111001112233223033020
511032423431001433131
6121501444100153400
74636052054006601
oct525012657531710
9101870267732570
1023434796905416
117515706a00186
1227659a2098860
13100cb79576c20
145b0370876da8
152a98d5cd77e6
hex155056beb3c8

23434796905416 has 96 divisors (see below), whose sum is σ = 68361278763960. Its totient is φ = 7209674182656.

The previous prime is 23434796905409. The next prime is 23434796905441. The reversal of 23434796905416 is 61450969743432.

It is a happy number.

23434796905416 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 47 + 96 + 90 + 5 + 416 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7487633213316 + 15947163692100 = 2736354^2 + 3993390^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4760056 + ... + 8338328.

Almost surely, 223434796905416 is an apocalyptic number.

23434796905416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

23434796905416 is an abundant number, since it is smaller than the sum of its proper divisors (44926481858544).

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

23434796905416 is a wasteful number, since it uses less digits than its factorization.

23434796905416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585295 (or 3585288 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 23434796905416 in words is "twenty-three trillion, four hundred thirty-four billion, seven hundred ninety-six million, nine hundred five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 6997 13994 20991 27988 41982 55976 62973 83964 90961 125946 167928 181922 251892 272883 363844 503784 545766 727688 818649 1091532 1637298 2183064 3274596 3578273 6549192 7156546 10734819 14313092 21469638 28626184 32204457 42939276 46517549 64408914 85878552 93035098 128817828 139552647 186070196 257635656 279105294 372140392 418657941 558210588 837315882 1116421176 1674631764 3349263528 25037176181 50074352362 75111528543 100148704724 150223057086 200297409448 225334585629 300446114172 325483290353 450669171258 600892228344 650966580706 901338342516 976449871059 1301933161412 1802676685032 1952899742118 2603866322824 2929349613177 3905799484236 5858699226354 7811598968472 11717398452708 23434796905416