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425252150051352 = 23313103101912986153
BaseRepresentation
bin110000010110000111011101…
…1010110000000001000011000
32001202200201010111122112022120
41200230032323112000020120
5421214312400403120402
64104234050224221240
7155400311464543431
oct14054167326001030
92052621114575276
10425252150051352
11113553473448888
123b84087076a820
131533914b248360
147702457418488
153426bb71523bc
hex182c3bb580218

425252150051352 has 128 divisors (see below), whose sum is σ = 1157159821708800. Its totient is φ = 129449287590912.

The previous prime is 425252150051317. The next prime is 425252150051419. The reversal of 425252150051352 is 253150051252524.

It is a super-2 number, since 2×4252521500513522 (a number of 30 digits) contains 22 as substring.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 26253508 + ... + 39239660.

It is an arithmetic number, because the mean of its divisors is an integer number (9040311107100).

Almost surely, 2425252150051352 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 425252150051352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578579910854400).

425252150051352 is an abundant number, since it is smaller than the sum of its proper divisors (731907671657448).

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

425252150051352 is a wasteful number, since it uses less digits than its factorization.

425252150051352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12987297 (or 12987293 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 425252150051352 in words is "four hundred twenty-five trillion, two hundred fifty-two billion, one hundred fifty million, fifty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 206 309 312 412 618 824 1019 1236 1339 2038 2472 2678 3057 4017 4076 5356 6114 8034 8152 10712 12228 13247 16068 24456 26494 32136 39741 52988 79482 104957 105976 158964 209914 314871 317928 419828 629742 839656 1259484 1364441 2518968 2728882 4093323 5457764 8186646 10915528 12986153 16373292 25972306 32746584 38958459 51944612 77916918 103889224 155833836 168819989 311667672 337639978 506459967 675279956 1012919934 1337573759 1350559912 2025839868 2675147518 4012721277 4051679736 5350295036 8025442554 10700590072 13232889907 16050885108 17388458867 26465779814 32101770216 34776917734 39698669721 52165376601 52931559628 69553835468 79397339442 104330753202 105863119256 139107670936 158794678884 172027568791 208661506404 317589357768 344055137582 417323012808 516082706373 688110275164 1032165412746 1362987660421 1376220550328 2064330825492 2725975320842 4088962981263 4128661650984 5451950641684 8177925962526 10903901283368 16355851925052 17718839585473 32711703850104 35437679170946 53156518756419 70875358341892 106313037512838 141750716683784 212626075025676 425252150051352