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2066156250144 = 25377434138139
BaseRepresentation
bin11110000100010000100…
…000100110010000100000
321022112002222111120021220
4132010100200212100200
5232322442000001034
64221102403015040
7302163164231640
oct36042040462040
97275088446256
102066156250144
1172728537a788
1229452766a480
1311cab756700c
1472006bc6520
1538b2ae2e749
hex1e110826420

2066156250144 has 96 divisors (see below), whose sum is σ = 6206812738560. Its totient is φ = 589535692032.

The previous prime is 2066156250107. The next prime is 2066156250187. The reversal of 2066156250144 is 4410526516602.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2066156250096 and 2066156250105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569774 + ... + 2568365.

It is an arithmetic number, because the mean of its divisors is an integer number (64654299360).

Almost surely, 22066156250144 is an apocalyptic number.

2066156250144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2066156250144 is an abundant number, since it is smaller than the sum of its proper divisors (4140656488416).

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

2066156250144 is a wasteful number, since it uses less digits than its factorization.

2066156250144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138902 (or 4138894 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 2066156250144 in words is "two trillion, sixty-six billion, one hundred fifty-six million, two hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 743 1486 2229 2972 4458 5201 5944 8916 10402 11888 15603 17832 20804 23776 31206 35664 41608 62412 71328 83216 124824 166432 249648 499296 4138139 8276278 12414417 16552556 24828834 28966973 33105112 49657668 57933946 66210224 86900919 99315336 115867892 132420448 173801838 198630672 231735784 347603676 397261344 463471568 695207352 926943136 1390414704 2780829408 3074637277 6149274554 9223911831 12298549108 18447823662 21522460939 24597098216 36895647324 43044921878 49194196432 64567382817 73791294648 86089843756 98388392864 129134765634 147582589296 172179687512 258269531268 295165178592 344359375024 516539062536 688718750048 1033078125072 2066156250144