Search a number
-
+
842130328960 = 2751823721793
BaseRepresentation
bin11000100000100101110…
…00010000110110000000
32222111200111210012102201
430100102320100312000
5102244140331011320
61442511435322544
7114561526455304
oct14202270206600
92874614705381
10842130328960
112a5166686488
121172638b0454
13615494a86cb
142ca8b835d04
1516d8bd3270a
hexc412e10d80

842130328960 has 64 divisors (see below), whose sum is σ = 2014324951680. Its totient is φ = 336666886144.

The previous prime is 842130328939. The next prime is 842130328981. The reversal of 842130328960 is 69823031248.

It is an interprime number because it is at equal distance from previous prime (842130328939) and next prime (842130328981).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 842130328960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 805824 + ... + 1527616.

It is an arithmetic number, because the mean of its divisors is an integer number (31473827370).

Almost surely, 2842130328960 is an apocalyptic number.

842130328960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842130328960 is an abundant number, since it is smaller than the sum of its proper divisors (1172194622720).

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

842130328960 is a wasteful number, since it uses less digits than its factorization.

842130328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723635 (or 723623 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 842130328960 in words is "eight hundred forty-two billion, one hundred thirty million, three hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1823 3646 7292 9115 14584 18230 29168 36460 58336 72920 116672 145840 233344 291680 583360 721793 1166720 1443586 2887172 3608965 5774344 7217930 11548688 14435860 23097376 28871720 46194752 57743440 92389504 115486880 230973760 461947520 1315828639 2631657278 5263314556 6579143195 10526629112 13158286390 21053258224 26316572780 42106516448 52633145560 84213032896 105266291120 168426065792 210532582240 421065164480 842130328960