Search a number
-
+
1026657324192 = 25349697215191
BaseRepresentation
bin11101111000010011000…
…10111000110010100000
310122010222111212210200110
432330021202320302200
5113310043233333232
62103350113251320
7134113345161243
oct16741142706240
93563874783613
101026657324192
11366448327135
12146b81563b40
1375a75c88b56
143799496725a
151ba8bbacacc
hexef098b8ca0

1026657324192 has 48 divisors (see below), whose sum is σ = 2695042228032. Its totient is φ = 342210631680.

The previous prime is 1026657324191. The next prime is 1026657324221. The reversal of 1026657324192 is 2914237566201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10266573241922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1026657324191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4663317 + ... + 4878507.

It is an arithmetic number, because the mean of its divisors is an integer number (56146713084).

Almost surely, 21026657324192 is an apocalyptic number.

1026657324192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1026657324192 is an abundant number, since it is smaller than the sum of its proper divisors (1668384903840).

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

1026657324192 is a wasteful number, since it uses less digits than its factorization.

1026657324192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264901 (or 264893 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 1026657324192 in words is "one trillion, twenty-six billion, six hundred fifty-seven million, three hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 49697 99394 149091 198788 215191 298182 397576 430382 596364 645573 795152 860764 1192728 1291146 1590304 1721528 2385456 2582292 3443056 4770912 5164584 6886112 10329168 20658336 10694347127 21388694254 32083041381 42777388508 64166082762 85554777016 128332165524 171109554032 256664331048 342219108064 513328662096 1026657324192