Search a number
-
+
4730127897312 = 2532291950729033
BaseRepresentation
bin100010011010101000110…
…0101111101001011100000
3121202012021202010212011200
41010311101211331023200
51104444300220203222
614020554000441200
7665511656511006
oct104652145751340
917665252125150
104730127897312
11156404397a454
12644892319200
13284083c8b13c
14124d21a62a76
1583095001eac
hex44d5197d2e0

4730127897312 has 144 divisors (see below), whose sum is σ = 13916331833040. Its totient is φ = 1522209540096.

The previous prime is 4730127897241. The next prime is 4730127897361. The reversal of 4730127897312 is 2137987210374.

4730127897312 is a `hidden beast` number, since 473 + 0 + 1 + 2 + 78 + 97 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162907948 + ... + 162936980.

It is an arithmetic number, because the mean of its divisors is an integer number (96641193285).

Almost surely, 24730127897312 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 4730127897312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958165916520).

4730127897312 is an abundant number, since it is smaller than the sum of its proper divisors (9186203935728).

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

4730127897312 is a wasteful number, since it uses less digits than its factorization.

4730127897312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48585 (or 48574 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 4730127897312 in words is "four trillion, seven hundred thirty billion, one hundred twenty-seven million, eight hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 19507 29033 39014 58066 58521 78028 87099 116132 117042 156056 174198 175563 232264 234084 261297 312112 348396 351126 464528 468168 522594 565703 624224 696792 702252 841957 929056 936336 1045188 1131406 1393584 1404504 1683914 1697109 1872672 2090376 2262812 2525871 2787168 2809008 3367828 3394218 4180752 4525624 5051742 5091327 5618016 6735656 6788436 7577613 8361504 9051248 10103484 10182654 13471312 13576872 15155226 18102496 20206968 20365308 26942624 27153744 30310452 40413936 40730616 54307488 60620904 80827872 81461232 121241808 162922464 242483616 566346731 1132693462 1699040193 2265386924 3398080386 4530773848 5097120579 6796160772 9061547696 10194241158 13592321544 16424055199 18123095392 20388482316 27184643088 32848110398 40776964632 49272165597 54369286176 65696220796 81553929264 98544331194 131392441592 147816496791 163107858528 197088662388 262784883184 295632993582 394177324776 525569766368 591265987164 788354649552 1182531974328 1576709299104 2365063948656 4730127897312