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168470023401 = 32412472712
BaseRepresentation
bin1001110011100110011…
…0001000110011101001
3121002211222001220210100
42130321212020303221
510230011311222101
6205221041140013
715112562366661
oct2347146106351
9532758056710
10168470023401
11654a1a330a9
122879832a609
1312b6ac9a6a4
1482227ad1a1
1545b037de86
hex2739988ce9

168470023401 has 81 divisors (see below), whose sum is σ = 258485378359. Its totient is φ = 105732177600.

The previous prime is 168470023399. The next prime is 168470023417. The reversal of 168470023401 is 104320074861.

The square root of 168470023401 is 410451.

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

168470023401 is a `hidden beast` number, since 168 + 4 + 70 + 0 + 23 + 401 = 666.

168470023401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8117829801 + 160352193600 = 90099^2 + 400440^2 .

It is not a de Polignac number, because 168470023401 - 21 = 168470023399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168470023471) 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 80 ways as a sum of consecutive naturals, for example, 2372817196 + ... + 2372817266.

Almost surely, 2168470023401 is an apocalyptic number.

168470023401 is the 410451-st square number.

168470023401 is the 205226-th centered octagonal number.

It is an amenable number.

168470023401 is a deficient number, since it is larger than the sum of its proper divisors (90015354958).

168470023401 is an frugal number, since it uses more digits than its factorization.

168470023401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 168470023401 by its sum of digits (36), we get a square (6064920842436 = 24627062).

The spelling of 168470023401 in words is "one hundred sixty-eight billion, four hundred seventy million, twenty-three thousand, four hundred one".

Divisors: 1 3 9 41 47 71 123 141 213 369 423 639 1681 1927 2209 2911 3337 5041 5043 5781 6627 8733 10011 15123 15129 17343 19881 26199 30033 45369 79007 90569 119351 136817 156839 206681 236927 237021 271707 358053 410451 470517 620043 710781 711063 815121 1074159 1231353 1411551 1860129 2132343 3713329 5609497 6430399 8473921 9714007 11135569 11139987 16828491 19291197 25421763 29142021 33406707 33419961 50485473 57873591 76265289 87426063 100220121 263646359 398274287 456558329 790939077 1194822861 1369674987 2372817231 3584468583 4109024961 18718891489 56156674467 168470023401