Search a number
-
+
245791133568 = 2732213360359
BaseRepresentation
bin1110010011101001001…
…0110000111110000000
3212111102121101021210100
43210322102300332000
513011340012233233
6304525341002400
723520635110101
oct3447222607600
9774377337710
10245791133568
119526a761642
123b776b53400
131a2410ca596
14bc7984c3a8
1565d8587813
hex393a4b0f80

245791133568 has 48 divisors (see below), whose sum is σ = 707289593400. Its totient is φ = 81930377472.

The previous prime is 245791133543. The next prime is 245791133573. The reversal of 245791133568 is 865331197542.

It is a happy number.

245791133568 is a `hidden beast` number, since 2 + 4 + 5 + 79 + 1 + 1 + 3 + 3 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106679028 + ... + 106681331.

Almost surely, 2245791133568 is an apocalyptic number.

It is an amenable number.

245791133568 is an abundant number, since it is smaller than the sum of its proper divisors (461498459832).

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

245791133568 is a wasteful number, since it uses less digits than its factorization.

245791133568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213360379 (or 213360364 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 245791133568 in words is "two hundred forty-five billion, seven hundred ninety-one million, one hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 213360359 426720718 640081077 853441436 1280162154 1706882872 1920243231 2560324308 3413765744 3840486462 5120648616 6827531488 7680972924 10241297232 13655062976 15361945848 20482594464 27310125952 30723891696 40965188928 61447783392 81930377856 122895566784 245791133568