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2153355224152 = 2311173269525817
BaseRepresentation
bin11111010101011101111…
…110010010010001011000
321121212012000202102002211
4133111131332102101120
5240240032414133102
64325123203404504
7311401102254646
oct37253576222130
97555160672084
102153355224152
11760261982560
122a9402383734
131280a2c90062
1476319ab4196
153b03141c7d7
hex1f55df92458

2153355224152 has 64 divisors (see below), whose sum is σ = 4446527335200. Its totient is φ = 969520573440.

The previous prime is 2153355224147. The next prime is 2153355224173. The reversal of 2153355224152 is 2514225533512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3832348 + ... + 4358164.

Almost surely, 22153355224152 is an apocalyptic number.

2153355224152 is a gapful number since it is divisible by the number (22) 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 2153355224152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223263667600).

2153355224152 is an abundant number, since it is smaller than the sum of its proper divisors (2293172111048).

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

2153355224152 is a wasteful number, since it uses less digits than its factorization.

2153355224152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526276 (or 526272 counting only the distinct ones).

The product of its digits is 360000, while the sum is 40.

The spelling of 2153355224152 in words is "two trillion, one hundred fifty-three billion, three hundred fifty-five million, two hundred twenty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 173 269 346 538 692 1076 1384 1903 2152 2959 3806 5918 7612 11836 15224 23672 46537 93074 186148 372296 511907 525817 1023814 1051634 2047628 2103268 4095256 4206536 5783987 11567974 23135948 46271896 90966341 141444773 181932682 282889546 363865364 565779092 727730728 1000629751 1131558184 1555892503 2001259502 3111785006 4002519004 6223570012 8005038008 12447140024 24469945729 48939891458 97879782916 195759565832 269169403019 538338806038 1076677612076 2153355224152