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842080640448 = 26312759957653
BaseRepresentation
bin11000100000011111110…
…10101101110111000000
32222111120001021202121110
430100033322231313000
5102244040120443243
61442502502323320
7114560354225655
oct14201772556700
92874501252543
10842080640448
112a51406287a3
1211724b129540
136153c0cc018
142ca84dbdc2c
1516d877b9e33
hexc40feaddc0

842080640448 has 112 divisors (see below), whose sum is σ = 2249336217600. Its totient is φ = 278013625344.

The previous prime is 842080640407. The next prime is 842080640501. The reversal of 842080640448 is 844046080248.

842080640448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 842080640397 and 842080640406.

It is a congruent number.

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, 14577190 + ... + 14634842.

Almost surely, 2842080640448 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 842080640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124668108800).

842080640448 is an abundant number, since it is smaller than the sum of its proper divisors (1407255577152).

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

842080640448 is a wasteful number, since it uses less digits than its factorization.

842080640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58394 (or 58384 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 842080640448 in words is "eight hundred forty-two billion, eighty million, six hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 599 762 1016 1198 1524 1797 2032 2396 3048 3594 4064 4792 6096 7188 8128 9584 12192 14376 19168 24384 28752 38336 57504 57653 76073 115008 115306 152146 172959 228219 230612 304292 345918 456438 461224 608584 691836 912876 922448 1217168 1383672 1825752 1844896 2434336 2767344 3651504 3689792 4868672 5534688 7303008 7321931 11069376 14606016 14643862 21965793 29287724 34534147 43931586 58575448 69068294 87863172 103602441 117150896 138136588 175726344 207204882 234301792 276273176 351452688 414409764 468603584 552546352 702905376 828819528 1105092704 1405810752 1657639056 2210185408 3315278112 4385836669 6630556224 8771673338 13157510007 17543346676 26315020014 35086693352 52630040028 70173386704 105260080056 140346773408 210520160112 280693546816 421040320224 842080640448