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257052611151420 = 223574257714374663
BaseRepresentation
bin111010011100100110111001…
…100100111000011000111100
31020201010222201102220201002020
4322130212321210320120330
5232143022221423321140
62310412201144000140
7105100303222516230
oct7234467144703074
91221128642821066
10257052611151420
11749a5444713507
12249b6627460050
13b057c5a025ab6
1447695ac89a5c0
151eab7dd1276d0
hexe9c9b993863c

257052611151420 has 96 divisors (see below), whose sum is σ = 822587732456448. Its totient is φ = 58753498493952.

The previous prime is 257052611151407. The next prime is 257052611151473. The reversal of 257052611151420 is 24151116250752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 10695009 + ... + 25069671.

It is an arithmetic number, because the mean of its divisors is an integer number (8568622213088).

Almost surely, 2257052611151420 is an apocalyptic number.

257052611151420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257052611151420 is an abundant number, since it is smaller than the sum of its proper divisors (565535121305028).

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

257052611151420 is a wasteful number, since it uses less digits than its factorization.

257052611151420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417259 (or 14417257 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 257052611151420 in words is "two hundred fifty-seven trillion, fifty-two billion, six hundred eleven million, one hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 42577 85154 127731 170308 212885 255462 298039 425770 510924 596078 638655 851540 894117 1192156 1277310 1490195 1788234 2554620 2980390 3576468 4470585 5960780 8941170 14374663 17882340 28749326 43123989 57498652 71873315 86247978 100622641 143746630 172495956 201245282 215619945 287493260 301867923 402490564 431239890 503113205 603735846 862479780 1006226410 1207471692 1509339615 2012452820 3018679230 6037358460 612030026551 1224060053102 1836090079653 2448120106204 3060150132755 3672180159306 4284210185857 6120300265510 7344360318612 8568420371714 9180450398265 12240600531020 12852630557571 17136840743428 18360900796530 21421050929285 25705261115142 36721801593060 42842101858570 51410522230284 64263152787855 85684203717140 128526305575710 257052611151420