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12520442485248 = 293233061115781
BaseRepresentation
bin1011011000110010010010…
…0001101101101000000000
31122022221110011102122221020
42312030210201231220000
53120113331234011443
642343451210425440
72431400144106255
oct266144441555000
948287404378836
1012520442485248
113a97987415005
1214a2666a32280
136ca898ab0679
14313dc7b8b42c
1516aa43576583
hexb632486da00

12520442485248 has 160 divisors (see below), whose sum is σ = 34817140524672. Its totient is φ = 3990686515200.

The previous prime is 12520442485211. The next prime is 12520442485249. The reversal of 12520442485248 is 84258424402521.

It is a super-2 number, since 2×125204424852482 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12520442485248.

It is not an unprimeable number, because it can be changed into a prime (12520442485249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108081118 + ... + 108196898.

Almost surely, 212520442485248 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 12520442485248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17408570262336).

12520442485248 is an abundant number, since it is smaller than the sum of its proper divisors (22296698039424).

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

12520442485248 is a wasteful number, since it uses less digits than its factorization.

12520442485248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118886 (or 118870 counting only the distinct ones).

The product of its (nonzero) digits is 6553600, while the sum is 51.

Adding to 12520442485248 its reverse (84258424402521), we get a palindrome (96778866887769).

The spelling of 12520442485248 in words is "twelve trillion, five hundred twenty billion, four hundred forty-two million, four hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 3061 4416 5888 6122 8832 9183 11776 12244 17664 18366 24488 35328 36732 48976 70403 73464 97952 115781 140806 146928 195904 211209 231562 281612 293856 347343 391808 422418 463124 563224 587712 694686 783616 844836 926248 1126448 1175424 1389372 1567232 1689672 1852496 2252896 2350848 2662963 2778744 3379344 3704992 4505792 4701696 5325926 5557488 6758688 7409984 7988889 9011584 10651852 11114976 13517376 14819968 15977778 18023168 21303704 22229952 27034752 29639936 31955556 36046336 42607408 44459904 54069504 59279872 63911112 85214816 88919808 108139008 127822224 170429632 177839616 255644448 340859264 354405641 511288896 681718528 708811282 1022577792 1063216923 1363437056 1417622564 2045155584 2126433846 2835245128 4090311168 4252867692 5670490256 8151329743 8505735384 11340980512 16302659486 17011470768 22681961024 24453989229 32605318972 34022941536 45363922048 48907978458 65210637944 68045883072 90727844096 97815956916 130421275888 136091766144 181455688192 195631913832 260842551776 272183532288 391263827664 521685103552 544367064576 782527655328 1043370207104 1565055310656 2086740414208 3130110621312 4173480828416 6260221242624 12520442485248