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2300994509952 = 27319315377537
BaseRepresentation
bin100001011110111101111…
…101011101110010000000
322010222021021010012220010
4201132331331131302000
5300144414043304302
64521021241544520
7325145534424345
oct41367575356200
98128237105803
102300994509952
11807934461136
12311b464a5140
13138ca142a2b8
147d523b107cc
153ecc2b3616c
hex217bdf5dc80

2300994509952 has 64 divisors (see below), whose sum is σ = 6433701775200. Its totient is φ = 726629842944.

The previous prime is 2300994509929. The next prime is 2300994509963. The reversal of 2300994509952 is 2599054990032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2300994509892 and 2300994509901.

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 7 ways as a sum of consecutive naturals, for example, 157681473 + ... + 157696064.

Almost surely, 22300994509952 is an apocalyptic number.

It is an amenable number.

2300994509952 is an abundant number, since it is smaller than the sum of its proper divisors (4132707265248).

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

2300994509952 is a wasteful number, since it uses less digits than its factorization.

2300994509952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315377573 (or 315377561 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 57.

The spelling of 2300994509952 in words is "two trillion, three hundred billion, nine hundred ninety-four million, five hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 315377537 630755074 946132611 1261510148 1892265222 2523020296 3784530444 5046040592 5992173203 7569060888 10092081184 11984346406 15138121776 17976519609 20184162368 23968692812 30276243552 35953039218 40368324736 47937385624 60552487104 71906078436 95874771248 121104974208 143812156872 191749542496 287624313744 383499084992 575248627488 766998169984 1150497254976 2300994509952