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4809131136 = 27331638537
BaseRepresentation
bin1000111101010010…
…11000010010000000
3110102011020011201000
410132221120102000
534322114144021
62113112212000
7230113640325
oct43651302200
913364204630
104809131136
1120486a1447
12b2269a000
135b8450834
143389b8b4c
151d2302b26
hex11ea58480

4809131136 has 128 divisors (see below), whose sum is σ = 14282366400. Its totient is φ = 1593022464.

The previous prime is 4809131113. The next prime is 4809131147. The reversal of 4809131136 is 6311319084.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×48091311363 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4809131136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559060 + ... + 567596.

Almost surely, 24809131136 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 4809131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141183200).

4809131136 is an abundant number, since it is smaller than the sum of its proper divisors (9473235264).

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

4809131136 is a wasteful number, since it uses less digits than its factorization.

4809131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8723 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4809131136 is about 69347.8992904616. The cubic root of 4809131136 is about 1687.9343055975.

The spelling of 4809131136 in words is "four billion, eight hundred nine million, one hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 163 192 216 288 326 384 432 489 576 652 864 978 1152 1304 1467 1728 1956 2608 2934 3456 3912 4401 5216 5868 7824 8537 8802 10432 11736 15648 17074 17604 20864 23472 25611 31296 34148 35208 46944 51222 62592 68296 70416 76833 93888 102444 136592 140832 153666 187776 204888 230499 273184 281664 307332 409776 460998 546368 563328 614664 819552 921996 1092736 1229328 1391531 1639104 1843992 2458656 2783062 3278208 3687984 4174593 4917312 5566124 7375968 8349186 9834624 11132248 12523779 14751936 16698372 22264496 25047558 29503872 33396744 37571337 44528992 50095116 66793488 75142674 89057984 100190232 133586976 150285348 178115968 200380464 267173952 300570696 400760928 534347904 601141392 801521856 1202282784 1603043712 2404565568 4809131136