Search a number
-
+
10253153535024 = 2431372942952981
BaseRepresentation
bin1001010100110011111110…
…0100110000010000110000
31100022012011220021021202010
42111030333210300100300
52320441424301110044
633450122251522520
72105523463031601
oct225147744602060
940265156237663
1010253153535024
1132a3379964864
121197168459440
13594b3966786a
142763806b1da8
1512ba94a2cbb9
hex9533f930430

10253153535024 has 80 divisors (see below), whose sum is σ = 26682061569120. Its totient is φ = 3392591677440.

The previous prime is 10253153534969. The next prime is 10253153535029. The reversal of 10253153535024 is 42053535135201.

It is not an unprimeable number, because it can be changed into a prime (10253153535029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 193498614 + ... + 193551594.

It is an arithmetic number, because the mean of its divisors is an integer number (333525769614).

Almost surely, 210253153535024 is an apocalyptic number.

It is an amenable number.

10253153535024 is an abundant number, since it is smaller than the sum of its proper divisors (16428908034096).

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

10253153535024 is a wasteful number, since it uses less digits than its factorization.

10253153535024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82558 (or 82552 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 10253153535024 in words is "ten trillion, two hundred fifty-three billion, one hundred fifty-three million, five hundred thirty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1644 2192 3288 6576 29429 52981 58858 88287 105962 117716 158943 176574 211924 235432 317886 353148 423848 470864 635772 706296 847696 1271544 1412592 2543088 4031773 7258397 8063546 12095319 14516794 16127092 21775191 24190638 29033588 32254184 43550382 48381276 58067176 64508368 87100764 96762552 116134352 174201528 193525104 348403056 1559177849 3118355698 4677533547 6236711396 9355067094 12473422792 18710134188 24946845584 37420268376 74840536752 213607365313 427214730626 640822095939 854429461252 1281644191878 1708858922504 2563288383756 3417717845008 5126576767512 10253153535024