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4126129152 = 21032635107
BaseRepresentation
bin1111010111101111…
…1011110000000000
3101122120001002010020
43311323323300000
531422242113102
61521233133440
7204151343025
oct36573736000
911576032106
104126129152
1118281019a2
129719ba280
13509ab3352
142b1dc754c
1519238bbbc
hexf5efbc00

4126129152 has 88 divisors (see below), whose sum is σ = 11041616256. Its totient is φ = 1369878528.

The previous prime is 4126129151. The next prime is 4126129159. The reversal of 4126129152 is 2519216214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126129151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 805383 + ... + 810489.

It is an arithmetic number, because the mean of its divisors is an integer number (125472912).

Almost surely, 24126129152 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 4126129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520808128).

4126129152 is an abundant number, since it is smaller than the sum of its proper divisors (6915487104).

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

4126129152 is a wasteful number, since it uses less digits than its factorization.

4126129152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393 (or 5375 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 4126129152 is about 64234.9527282460. The cubic root of 4126129152 is about 1603.9134867508.

The spelling of 4126129152 in words is "four billion, one hundred twenty-six million, one hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 263 384 512 526 768 789 1024 1052 1536 1578 2104 3072 3156 4208 5107 6312 8416 10214 12624 15321 16832 20428 25248 30642 33664 40856 50496 61284 67328 81712 100992 122568 134656 163424 201984 245136 269312 326848 403968 490272 653696 807936 980544 1307392 1343141 1961088 2614784 2686282 3922176 4029423 5229568 5372564 7844352 8058846 10745128 15688704 16117692 21490256 32235384 42980512 64470768 85961024 128941536 171922048 257883072 343844096 515766144 687688192 1031532288 1375376384 2063064576 4126129152