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126226252650 = 235247109316381
BaseRepresentation
bin111010110001110101…
…0111100001101101010
3110001210220222000110110
41311203222330031222
54032002410041100
6133553150355150
712056001305331
oct1654352741552
9401726860413
10126226252650
1149594479973
1220568abbab6
13bb980cc834
14617620cd18
15343b8d1250
hex1d63abc36a

126226252650 has 96 divisors (see below), whose sum is σ = 320013589248. Its totient is φ = 32912006400.

The previous prime is 126226252619. The next prime is 126226252657. The reversal of 126226252650 is 56252622621.

It is a junction number, because it is equal to n+sod(n) for n = 126226252599 and 126226252608.

It is not an unprimeable number, because it can be changed into a prime (126226252657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7697460 + ... + 7713840.

It is an arithmetic number, because the mean of its divisors is an integer number (3333474888).

Almost surely, 2126226252650 is an apocalyptic number.

126226252650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126226252650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160006794624).

126226252650 is an abundant number, since it is smaller than the sum of its proper divisors (193787336598).

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

126226252650 is a wasteful number, since it uses less digits than its factorization.

126226252650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536 (or 17531 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 126226252650 in words is "one hundred twenty-six billion, two hundred twenty-six million, two hundred fifty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1093 1175 1410 2186 2350 3279 3525 5465 6558 7050 10930 16381 16395 27325 32762 32790 49143 51371 54650 81905 81975 98286 102742 154113 163810 163950 245715 256855 308226 409525 491430 513710 769907 770565 819050 1228575 1284275 1539814 1541130 2309721 2457150 2568550 3849535 3852825 4619442 7699070 7705650 11548605 17904433 19247675 23097210 35808866 38495350 53713299 57743025 89522165 107426598 115486050 179044330 268566495 447610825 537132990 841508351 895221650 1342832475 1683016702 2524525053 2685664950 4207541755 5049050106 8415083510 12622625265 21037708775 25245250530 42075417550 63113126325 126226252650