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116452446606 = 23417674571381
BaseRepresentation
bin110110001110100011…
…0110101000110001110
3102010120202211020010000
41230131012311012032
53401443311242411
6125255244025130
711261541315066
oct1543506650616
9363522736100
10116452446606
1145429408811
121a69b8321a6
13ac9b23b152
1458ca12a3a6
153068803956
hex1b1d1b518e

116452446606 has 160 divisors (see below), whose sum is σ = 281229946272. Its totient is φ = 35884062720.

The previous prime is 116452446601. The next prime is 116452446611. The reversal of 116452446606 is 606644254611.

116452446606 is a `hidden beast` number, since 1 + 1 + 64 + 524 + 4 + 6 + 60 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (116452446601) and next prime (116452446611).

It is a super-2 number, since 2×1164524466062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116452446601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84324036 + ... + 84325416.

Almost surely, 2116452446606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116452446606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140614973136).

116452446606 is an abundant number, since it is smaller than the sum of its proper divisors (164777499666).

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

116452446606 is a wasteful number, since it uses less digits than its factorization.

116452446606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 116452446606 in words is "one hundred sixteen billion, four hundred fifty-two million, four hundred forty-six thousand, six hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 67 81 102 134 153 162 201 306 402 457 459 603 914 918 1139 1206 1371 1377 1381 1809 2278 2742 2754 2762 3417 3618 4113 4143 5427 6834 7769 8226 8286 10251 10854 12339 12429 15538 20502 23307 23477 24678 24858 30619 30753 37017 37287 46614 46954 61238 61506 69921 70431 74034 74574 91857 92259 92527 111861 139842 140862 183714 184518 185054 209763 211293 223722 275571 277581 419526 422586 520523 551142 555162 629289 631117 633879 826713 832743 1041046 1258578 1262234 1267758 1561569 1572959 1653426 1665486 1893351 1901637 2480139 2498229 3123138 3145918 3786702 3803274 4684707 4718877 4960278 4996458 5680053 7494687 9369414 9437754 10728989 11360106 14054121 14156631 14989374 17040159 21457978 28108242 28313262 32186967 34080318 42162363 42284839 42469893 51120477 64373934 84324726 84569678 84939786 96560901 102240954 126854517 127409679 193121802 253709034 254819358 289682703 380563551 579365406 718842263 761127102 869048109 1141690653 1437684526 1738096218 2156526789 2283381306 3425071959 4313053578 6469580367 6850143918 12939160734 19408741101 38817482202 58226223303 116452446606