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81978103152 = 243211192723887
BaseRepresentation
bin100110001011001000…
…1101001010101110000
321211121012021010101200
41030112101221111300
52320342343300102
6101354335131200
75631331244121
oct1142621512560
9254535233350
1081978103152
1131848558280
1213a7a373b00
137965bb355a
143d79774048
1521ebea851c
hex1316469570

81978103152 has 120 divisors (see below), whose sum is σ = 263454447360. Its totient is φ = 23534375040.

The previous prime is 81978103099. The next prime is 81978103153. The reversal of 81978103152 is 25130187918.

It is a junction number, because it is equal to n+sod(n) for n = 81978103098 and 81978103107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81978103153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331848 + ... + 1392039.

It is an arithmetic number, because the mean of its divisors is an integer number (2195453728).

Almost surely, 281978103152 is an apocalyptic number.

It is an amenable number.

81978103152 is an abundant number, since it is smaller than the sum of its proper divisors (181476344208).

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

81978103152 is a wasteful number, since it uses less digits than its factorization.

81978103152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723931 (or 2723922 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 81978103152 in words is "eighty-one billion, nine hundred seventy-eight million, one hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 30096 2723887 5447774 8171661 10895548 16343322 21791096 24514983 29962757 32686644 43582192 49029966 51753853 59925514 65373288 89888271 98059932 103507706 119851028 130746576 155261559 179776542 196119864 207015412 239702056 269664813 310523118 359553084 392239728 414030824 465784677 479404112 539329626 569292383 621046236 719106168 828061648 931569354 1078659252 1138584766 1242092472 1438212336 1707877149 1863138708 2157318504 2277169532 2484184944 3415754298 3726277416 4314637008 4554339064 5123631447 6831508596 7452554832 9108678128 10247262894 13663017192 20494525788 27326034384 40989051576 81978103152