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245112339456 = 2103244360037
BaseRepresentation
bin1110010001000111010…
…1010111110000000000
3212102200022002222022200
43210101311113300000
513003442224330311
6304334132033200
723465053336365
oct3442165276000
9772608088280
10245112339456
1194a51586576
123b607762800
131a1635a446a
14bc1363446c
156598ba3556
hex3911d57c00

245112339456 has 132 divisors (see below), whose sum is σ = 709366020792. Its totient is φ = 81518321664.

The previous prime is 245112339449. The next prime is 245112339457. The reversal of 245112339456 is 654933211542.

245112339456 is a `hidden beast` number, since 2 + 45 + 1 + 123 + 39 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245112339457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4052670 + ... + 4112706.

It is an arithmetic number, because the mean of its divisors is an integer number (5373985006).

Almost surely, 2245112339456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245112339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354683010396).

245112339456 is an abundant number, since it is smaller than the sum of its proper divisors (464253681336).

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

245112339456 is a wasteful number, since it uses less digits than its factorization.

245112339456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60506 (or 60485 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 245112339456 in words is "two hundred forty-five billion, one hundred twelve million, three hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 443 512 576 768 886 1024 1152 1329 1536 1772 2304 2658 3072 3544 3987 4608 5316 7088 7974 9216 10632 14176 15948 21264 28352 31896 42528 56704 60037 63792 85056 113408 120074 127584 170112 180111 226816 240148 255168 340224 360222 453632 480296 510336 540333 680448 720444 960592 1020672 1080666 1360896 1440888 1921184 2041344 2161332 2881776 3842368 4082688 4322664 5763552 7684736 8645328 11527104 15369472 17290656 23054208 26596391 30738944 34581312 46108416 53192782 61477888 69162624 79789173 92216832 106385564 138325248 159578346 184433664 212771128 239367519 276650496 319156692 425542256 478735038 553300992 638313384 851084512 957470076 1276626768 1702169024 1914940152 2553253536 3404338048 3829880304 5106507072 6808676096 7659760608 10213014144 13617352192 15319521216 20426028288 27234704384 30639042432 40852056576 61278084864 81704113152 122556169728 245112339456