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181340171265048 = 2331710140031099327
BaseRepresentation
bin101001001110110110001100…
…011111011110010000011000
3212210001221200022211201010020
4221032312030133132100120
5142232034132320440143
61441402305152350440
753124252331133145
oct5116661437362030
9783057608751106
10181340171265048
1152864a31172504
1218408b34545420
137a253c678abc3
1432acca81813cc
1515e7119b95883
hexa4ed8c7de418

181340171265048 has 128 divisors (see below), whose sum is σ = 484892297809920. Its totient is φ = 56313633945600.

The previous prime is 181340171265013. The next prime is 181340171265083. The reversal of 181340171265048 is 840562171043181.

181340171265048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (181340171265013) and next prime (181340171265083).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164405961 + ... + 165505287.

It is an arithmetic number, because the mean of its divisors is an integer number (3788221076640).

Almost surely, 2181340171265048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181340171265048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242446148904960).

181340171265048 is an abundant number, since it is smaller than the sum of its proper divisors (303552126544872).

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

181340171265048 is a wasteful number, since it uses less digits than its factorization.

181340171265048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103457 (or 1103453 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 181340171265048 in words is "one hundred eighty-one trillion, three hundred forty billion, one hundred seventy-one million, two hundred sixty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 101 102 136 202 204 303 404 408 606 808 1212 1717 2424 3434 4003 5151 6868 8006 10302 12009 13736 16012 20604 24018 32024 41208 48036 68051 96072 136102 204153 272204 404303 408306 544408 808606 816612 1099327 1212909 1617212 1633224 2198654 2425818 3234424 3297981 4397308 4851636 6595962 6873151 8794616 9703272 13191924 13746302 18688559 20619453 26383848 27492604 37377118 41238906 54985208 56065677 74754236 82477812 111032027 112131354 149508472 164955624 222064054 224262708 333096081 444128108 448525416 666192162 888256216 1332384324 1887544459 2664768648 3775088918 4400605981 5662633377 7550177836 8801211962 11325266754 13201817943 15100355672 17602423924 22650533508 26403635886 35204847848 45301067016 52807271772 74810301677 105614543544 149620603354 224430905031 299241206708 444461204081 448861810062 598482413416 888922408162 897723620124 1333383612243 1777844816324 1795447240248 2666767224486 3555689632648 5333534448972 7555840469377 10667068897944 15111680938754 22667521408131 30223361877508 45335042816262 60446723755016 90670085632524 181340171265048