Search a number
-
+
168025058152704 = 2834900172
BaseRepresentation
bin100110001101000101100001…
…111001111001000100000000
3211000221001001012102111110000
4212031011201321321010000
5134010410304341341304
61353205351320240000
750251260402113064
oct4615054171710400
9730831035374400
10168025058152704
11495a1032a17525
1216a18470010000
13729a905ba2c7c
142d6c655b8baa4
151465ab6145939
hex98d161e79100

168025058152704 has 135 divisors (see below), whose sum is σ = 501025886632117. Its totient is φ = 56007730520064.

The previous prime is 168025058152687. The next prime is 168025058152739. The reversal of 168025058152704 is 407251850520861.

The square root of 168025058152704 is 12962448.

It is a perfect power (a square), and thus also a powerful number.

168025058152704 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 2 + 5 + 0 + 581 + 52 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150576459321600 + 17448598831104 = 12270960^2 + 4177152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 1866547504 + ... + 1866637520.

Almost surely, 2168025058152704 is an apocalyptic number.

168025058152704 is the 12962448-th square number.

It is an amenable number.

168025058152704 is an abundant number, since it is smaller than the sum of its proper divisors (333000828479413).

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

168025058152704 is an frugal number, since it uses more digits than its factorization.

168025058152704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180062 (or 90022 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 168025058152704 in words is "one hundred sixty-eight trillion, twenty-five billion, fifty-eight million, one hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 90017 180034 270051 360068 540102 720136 810153 1080204 1440272 1620306 2160408 2430459 2880544 3240612 4320816 4860918 5761088 6481224 7291377 8641632 9721836 11522176 12962448 14582754 17283264 19443672 23044352 25924896 29165508 34566528 38887344 51849792 58331016 69133056 77774688 103699584 116662032 155549376 207399168 233324064 311098752 466648128 622197504 933296256 1866592512 8103060289 16206120578 24309180867 32412241156 48618361734 64824482312 72927542601 97236723468 129648964624 145855085202 194473446936 218782627803 259297929248 291710170404 388946893872 437565255606 518595858496 583420340808 656347883409 777893787744 875130511212 1037191716992 1166840681616 1312695766818 1555787575488 1750261022424 2074383433984 2333681363232 2625391533636 3111575150976 3500522044848 4667362726464 5250783067272 6223150301952 7001044089696 9334725452928 10501566134544 14002088179392 18669450905856 21003132269088 28004176358784 42006264538176 56008352717568 84012529076352 168025058152704