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126948233216 = 212715532851
BaseRepresentation
bin111011000111010110…
…1000101000000000000
3110010200020111102121102
41312032231011000000
54034442221430331
6134152541113532
712112616115050
oct1661655050000
9403606442542
10126948233216
1149924a71622
122072a8588a8
13bc8186697c
146204069560
15347ee964cb
hex1d8eb45000

126948233216 has 104 divisors (see below), whose sum is σ = 290420620224. Its totient is φ = 54352281600.

The previous prime is 126948233141. The next prime is 126948233239. The reversal of 126948233216 is 612332849621.

It is a super-2 number, since 2×1269482332162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44526191 + ... + 44529041.

Almost surely, 2126948233216 is an apocalyptic number.

126948233216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126948233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145210310112).

126948233216 is an abundant number, since it is smaller than the sum of its proper divisors (163472387008).

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

126948233216 is an equidigital number, since it uses as much as digits as its factorization.

126948233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4413 counting only the distinct ones).

The product of its digits is 746496, while the sum is 47.

The spelling of 126948233216 in words is "one hundred twenty-six billion, nine hundred forty-eight million, two hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1553 1792 2048 2851 3106 3584 4096 5702 6212 7168 10871 11404 12424 14336 19957 21742 22808 24848 28672 39914 43484 45616 49696 79828 86968 91232 99392 159656 173936 182464 198784 319312 347872 364928 397568 638624 695744 729856 795136 1277248 1391488 1459712 1590272 2554496 2782976 2919424 3180544 4427603 5108992 5565952 5838848 6361088 8855206 10217984 11131904 11677696 17710412 20435968 22263808 30993221 35420824 40871936 44527616 61986442 70841648 81743872 123972884 141683296 247945768 283366592 495891536 566733184 991783072 1133466368 1983566144 2266932736 3967132288 4533865472 7934264576 9067730944 15868529152 18135461888 31737058304 63474116608 126948233216