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116554489776 = 243223127277099
BaseRepresentation
bin110110010001100110…
…0000101111110110000
3102010211212211120000200
41230203030011332300
53402200422133101
6125313331115200
711264220550044
oct1544314057660
9363755746020
10116554489776
1145480a7530a
121a709a42b00
13acb641891a
1458d98d0024
15307275d986
hex1b23305fb0

116554489776 has 120 divisors (see below), whose sum is σ = 343054233600. Its totient is φ = 36869551488.

The previous prime is 116554489771. The next prime is 116554489783. The reversal of 116554489776 is 677984455611.

116554489776 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 544 + 89 + 7 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (116554489771) 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, 282075 + ... + 559173.

It is an arithmetic number, because the mean of its divisors is an integer number (2858785280).

Almost surely, 2116554489776 is an apocalyptic number.

116554489776 is a gapful number since it is divisible by the number (16) 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 116554489776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171527116800).

116554489776 is an abundant number, since it is smaller than the sum of its proper divisors (226499743824).

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

116554489776 is a wasteful number, since it uses less digits than its factorization.

116554489776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277263 (or 277254 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

It can be divided in two parts, 1165544 and 89776, that added together give a triangular number (1255320 = T1584).

The spelling of 116554489776 in words is "one hundred sixteen billion, five hundred fifty-four million, four hundred eighty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 127 138 144 184 207 254 276 368 381 414 508 552 762 828 1016 1104 1143 1524 1656 2032 2286 2921 3048 3312 4572 5842 6096 8763 9144 11684 17526 18288 23368 26289 35052 46736 52578 70104 105156 140208 210312 277099 420624 554198 831297 1108396 1662594 2216792 2493891 3325188 4433584 4987782 6373277 6650376 9975564 12746554 13300752 19119831 19951128 25493108 35191573 38239662 39902256 50986216 57359493 70383146 76479324 101972432 105574719 114718986 140766292 152958648 211149438 229437972 281532584 305917296 316724157 422298876 458875944 563065168 633448314 809406179 844597752 917751888 1266896628 1618812358 1689195504 2428218537 2533793256 3237624716 4856437074 5067586512 6475249432 7284655611 9712874148 12950498864 14569311222 19425748296 29138622444 38851496592 58277244888 116554489776