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2557123843000 = 23536183505061
BaseRepresentation
bin100101001101100000011…
…101010101001110111000
3100001110101100122110021111
4211031200131111032320
5313343442200434000
65234420530250104
7352513625014636
oct45154035251670
910043340573244
102557123843000
118a6519821a91
12353707726934
1315719c2c8c7c
148baa059a356
15467b3ad3cba
hex253607553b8

2557123843000 has 128 divisors (see below), whose sum is σ = 6155049176640. Its totient is φ = 993958080000.

The previous prime is 2557123842971. The next prime is 2557123843003. The reversal of 2557123843000 is 3483217552.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557123843003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4810470 + ... + 5315530.

Almost surely, 22557123843000 is an apocalyptic number.

2557123843000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557123843000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077524588320).

2557123843000 is an abundant number, since it is smaller than the sum of its proper divisors (3597925333640).

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

2557123843000 is a wasteful number, since it uses less digits than its factorization.

2557123843000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505226 (or 505212 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 2557123843000 in words is "two trillion, five hundred fifty-seven billion, one hundred twenty-three million, eight hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 83 100 122 125 166 200 244 250 305 332 415 488 500 610 664 830 1000 1220 1525 1660 2075 2440 3050 3320 4150 5063 6100 7625 8300 10126 10375 12200 15250 16600 20252 20750 25315 30500 40504 41500 50630 61000 83000 101260 126575 202520 253150 505061 506300 632875 1010122 1012600 1265750 2020244 2525305 2531500 4040488 5050610 5063000 10101220 12626525 20202440 25253050 30808721 41920063 50506100 61617442 63132625 83840126 101012200 123234884 126265250 154043605 167680252 209600315 246469768 252530500 308087210 335360504 419200630 505061000 616174420 770218025 838401260 1048001575 1232348840 1540436050 1676802520 2096003150 2557123843 3080872100 3851090125 4192006300 5114247686 5240007875 6161744200 7702180250 8384012600 10228495372 10480015750 12785619215 15404360500 20456990744 20960031500 25571238430 30808721000 41920063000 51142476860 63928096075 102284953720 127856192150 255712384300 319640480375 511424768600 639280960750 1278561921500 2557123843000