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48582652040448 = 283733312617997
BaseRepresentation
bin10110000101111100001111…
…01101111001010100000000
320101000110022112220210222120
423002332013231321110000
522331434232410243243
6251154321235404240
713142660256511401
oct1302760755712400
9211013275823876
1048582652040448
1114530872591049
125547787a53680
13211542aa054a6
14bdd5ad0239a8
15593b2d9e3c83
hex2c2f87b79500

48582652040448 has 144 divisors (see below), whose sum is σ = 131467984622016. Its totient is φ = 15924117749760.

The previous prime is 48582652040401. The next prime is 48582652040449. The reversal of 48582652040448 is 84404025628584.

It is a junction number, because it is equal to n+sod(n) for n = 48582652040391 and 48582652040400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48582652040449) 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, 17248186 + ... + 19866182.

Almost surely, 248582652040448 is an apocalyptic number.

48582652040448 is a gapful number since it is divisible by the number (48) 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 48582652040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65733992311008).

48582652040448 is an abundant number, since it is smaller than the sum of its proper divisors (82885332581568).

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

48582652040448 is a wasteful number, since it uses less digits than its factorization.

48582652040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618420 (or 2618406 counting only the distinct ones).

The product of its (nonzero) digits is 78643200, while the sum is 60.

The spelling of 48582652040448 in words is "forty-eight trillion, five hundred eighty-two billion, six hundred fifty-two million, forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 331 384 438 584 662 768 876 993 1168 1324 1752 1986 2336 2648 3504 3972 4672 5296 7008 7944 9344 10592 14016 15888 18688 21184 24163 28032 31776 42368 48326 56064 63552 72489 84736 96652 127104 144978 193304 254208 289956 386608 579912 773216 1159824 1546432 2319648 2617997 3092864 4639296 5235994 6185728 7853991 9278592 10471988 15707982 18557184 20943976 31415964 41887952 62831928 83775904 125663856 167551808 191113781 251327712 335103616 382227562 502655424 573341343 670207232 764455124 866557007 1005310848 1146682686 1528910248 1733114014 2010621696 2293365372 2599671021 3057820496 3466228028 4586730744 5199342042 6115640992 6932456056 9173461488 10398684084 12231281984 13864912112 18346922976 20797368168 24462563968 27729824224 36693845952 41594736336 48925127936 55459648448 63258661511 73387691904 83189472672 110919296896 126517323022 146775383808 166378945344 189775984533 221838593792 253034646044 332757890688 379551969066 506069292088 665515781376 759103938132 1012138584176 1518207876264 2024277168352 3036415752528 4048554336704 6072831505056 8097108673408 12145663010112 16194217346816 24291326020224 48582652040448