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1068478328772 = 223325173353773
BaseRepresentation
bin11111000110001100100…
…01010110111111000100
310210010221002110221212000
433203012101112333010
5120001220423010042
62134504022425300
7140123613641301
oct17430621267704
93703832427760
101068478328772
11382159185938
121530b3292230
13799ac3a3bca
1439a00d180a8
151cbd849b74c
hexf8c6456fc4

1068478328772 has 96 divisors (see below), whose sum is σ = 2785011384960. Its totient is φ = 354249936000.

The previous prime is 1068478328693. The next prime is 1068478328867. The reversal of 1068478328772 is 2778238748601.

It is a happy number.

1068478328772 is a `hidden beast` number, since 1 + 0 + 68 + 478 + 32 + 8 + 7 + 72 = 666.

It is a super-2 number, since 2×10684783287722 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19843278 + ... + 19897050.

It is an arithmetic number, because the mean of its divisors is an integer number (29010535260).

Almost surely, 21068478328772 is an apocalyptic number.

1068478328772 is a gapful number since it is divisible by the number (12) 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 1068478328772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392505692480).

1068478328772 is an abundant number, since it is smaller than the sum of its proper divisors (1716533056188).

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

1068478328772 is a wasteful number, since it uses less digits than its factorization.

1068478328772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54770 (or 54762 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 1068478328772 in words is "one trillion, sixty-eight billion, four hundred seventy-eight million, three hundred twenty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 251 502 733 753 1004 1466 1506 2199 2259 2932 3012 4398 4518 6597 6777 8796 9036 13194 13554 19791 26388 27108 39582 53773 79164 107546 161319 183983 215092 322638 367966 483957 551949 645276 735932 967914 1103898 1451871 1655847 1935828 2207796 2903742 3311694 4967541 5807484 6623388 9935082 13497023 19870164 26994046 39415609 40491069 53988092 78831218 80982138 118246827 121473207 157662436 161964276 236493654 242946414 354740481 364419621 472987308 485892828 709480962 728839242 1064221443 1418961924 1457678484 2128442886 4256885772 9893317859 19786635718 29679953577 39573271436 59359907154 89039860731 118719814308 178079721462 267119582193 356159442924 534239164386 1068478328772