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162381597156 = 22346123672
BaseRepresentation
bin1001011100111010110…
…0101000100111100100
3120112010122121211010000
42113032230220213210
510130024142102111
6202332545101300
714505652542102
oct2271654504744
9515118554100
10162381597156
11629581a6379
1227579327830
131240a7b10cc
147c05d42c72
154355acac56
hex25ceb289e4

162381597156 has 135 divisors (see below), whose sum is σ = 432749774457. Its totient is φ = 53094800160.

The previous prime is 162381597149. The next prime is 162381597241. The reversal of 162381597156 is 651795183261.

The square root of 162381597156 is 402966.

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

162381597156 is a `hidden beast` number, since 1 + 6 + 2 + 38 + 1 + 597 + 15 + 6 = 666.

162381597156 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., 5280347556 + 157101249600 = 72666^2 + 396360^2 .

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

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 44 ways as a sum of consecutive naturals, for example, 442456485 + ... + 442456851.

Almost surely, 2162381597156 is an apocalyptic number.

162381597156 is the 402966-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162381597156

162381597156 is an abundant number, since it is smaller than the sum of its proper divisors (270368177301).

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

162381597156 is an frugal number, since it uses more digits than its factorization.

162381597156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 433 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 162381597156 in words is "one hundred sixty-two billion, three hundred eighty-one million, five hundred ninety-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 367 549 732 734 1098 1101 1468 1647 2196 2202 3294 3303 3721 4404 4941 6588 6606 7442 9882 9909 11163 13212 14884 19764 19818 22326 22387 29727 33489 39636 44652 44774 59454 66978 67161 89548 100467 118908 133956 134322 134689 200934 201483 268644 269378 301401 401868 402966 404067 538756 602802 604449 805932 808134 1205604 1208898 1212201 1365607 1616268 1813347 2417796 2424402 2731214 3626694 3636603 4096821 4848804 5462428 7253388 7273206 8193642 8216029 10909809 12290463 14546412 16387284 16432058 21819618 24580926 24648087 32864116 36871389 43639236 49161852 49296174 73742778 73944261 98592348 110614167 147485556 147888522 221228334 221832783 295777044 442456668 443665566 501177769 665498349 887331132 1002355538 1330996698 1503533307 2004711076 2661993396 3007066614 4510599921 6014133228 9021199842 13531799763 18042399684 27063599526 40595399289 54127199052 81190798578 162381597156