Search a number
-
+
48356502304960 = 2651811741479543
BaseRepresentation
bin10101111111010111000000…
…01001000111100011000000
320100012211120210021221002101
422333223200021013203000
522314233104042224320
6250502400454000144
713120433130463453
oct1277534011074300
9210184523257071
1048356502304960
1114453971999603
12550b992946054
1320c9cc9c07265
14bd2677dd149a
1558cce498ec0a
hex2bfae02478c0

48356502304960 has 112 divisors (see below), whose sum is σ = 115851849527232. Its totient is φ = 19224646963200.

The previous prime is 48356502304871. The next prime is 48356502304961. The reversal of 48356502304960 is 6940320565384.

It is not an unprimeable number, because it can be changed into a prime (48356502304961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100598949 + ... + 101078491.

It is an arithmetic number, because the mean of its divisors is an integer number (1034391513636).

Almost surely, 248356502304960 is an apocalyptic number.

48356502304960 is a gapful number since it is divisible by the number (40) 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 48356502304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57925924763616).

48356502304960 is an abundant number, since it is smaller than the sum of its proper divisors (67495347222272).

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

48356502304960 is a wasteful number, since it uses less digits than its factorization.

48356502304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481482 (or 481472 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 55.

The spelling of 48356502304960 in words is "forty-eight trillion, three hundred fifty-six billion, five hundred two million, three hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 320 362 724 905 1448 1741 1810 2896 3482 3620 5792 6964 7240 8705 11584 13928 14480 17410 27856 28960 34820 55712 57920 69640 111424 139280 278560 315121 479543 557120 630242 959086 1260484 1575605 1918172 2397715 2520968 3151210 3836344 4795430 5041936 6302420 7672688 9590860 10083872 12604840 15345376 19181720 20167744 25209680 30690752 38363440 50419360 76726880 86797283 100838720 153453760 173594566 347189132 433986415 694378264 834884363 867972830 1388756528 1669768726 1735945660 2777513056 3339537452 3471891320 4174421815 5555026112 6679074904 6943782640 8348843630 13358149808 13887565280 16697687260 26716299616 27775130560 33395374520 53432599232 66790749040 133581498080 151114069703 267162996160 302228139406 604456278812 755570348515 1208912557624 1511140697030 2417825115248 3022281394060 4835650230496 6044562788120 9671300460992 12089125576240 24178251152480 48356502304960