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82378952448 = 283138251097
BaseRepresentation
bin100110010111000101…
…0110000111100000000
321212122010112101020220
41030232022300330000
52322203002434243
6101502214503040
75644266354012
oct1145612607400
9255563471226
1082378952448
1131a33853291
1213b70664a80
1379cac615a0
143db6aba1b2
152222288783
hex132e2b0f00

82378952448 has 72 divisors (see below), whose sum is σ = 236113420368. Its totient is φ = 25347366912.

The previous prime is 82378952407. The next prime is 82378952449. The reversal of 82378952448 is 84425987328.

It is a super-3 number, since 3×823789524483 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82378952391 and 82378952400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82378952449) 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, 4115565 + ... + 4135532.

Almost surely, 282378952448 is an apocalyptic number.

It is an amenable number.

82378952448 is an abundant number, since it is smaller than the sum of its proper divisors (153734467920).

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

82378952448 is a wasteful number, since it uses less digits than its factorization.

82378952448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251129 (or 8251115 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The spelling of 82378952448 in words is "eighty-two billion, three hundred seventy-eight million, nine hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 8251097 16502194 24753291 33004388 49506582 66008776 99013164 107264261 132017552 198026328 214528522 264035104 321792783 396052656 429057044 528070208 643585566 792105312 858114088 1056140416 1287171132 1584210624 1716228176 2112280832 2574342264 3168421248 3432456352 5148684528 6336842496 6864912704 10297369056 13729825408 20594738112 27459650816 41189476224 82378952448