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32113442432540 = 22571916197456901
BaseRepresentation
bin1110100110100111111100…
…10101000010011000011100
311012201000102000111021111202
413103103332111002120130
513202121312230320130
6152144413425135032
76523056016561220
oct723237625023034
9135630360437452
1032113442432540
11a26126406a517
123727972a8a478
1314bc391432141
147d04282b4780
153aa5271d9145
hex1d34fe54261c

32113442432540 has 96 divisors (see below), whose sum is σ = 81178817932800. Its totient is φ = 10424388268800.

The previous prime is 32113442432503. The next prime is 32113442432579. The reversal of 32113442432540 is 4523424431123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 32113442432494 and 32113442432503.

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 31 ways as a sum of consecutive naturals, for example, 578090 + ... + 8034990.

It is an arithmetic number, because the mean of its divisors is an integer number (845612686800).

Almost surely, 232113442432540 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 32113442432540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40589408966400).

32113442432540 is an abundant number, since it is smaller than the sum of its proper divisors (49065375500260).

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

32113442432540 is a wasteful number, since it uses less digits than its factorization.

32113442432540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458555 (or 7458553 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

Adding to 32113442432540 its reverse (4523424431123), we get a palindrome (36636866863663).

The spelling of 32113442432540 in words is "thirty-two trillion, one hundred thirteen billion, four hundred forty-two million, four hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 1619 2660 3238 6476 8095 11333 16190 22666 30761 32380 45332 56665 61522 113330 123044 153805 215327 226660 307610 430654 615220 861308 1076635 2153270 4306540 7456901 14913802 29827604 37284505 52198307 74569010 104396614 141681119 149138020 208793228 260991535 283362238 521983070 566724476 708405595 991767833 1043966140 1416811190 1983535666 2833622380 3967071332 4958839165 9917678330 12072722719 19835356660 24145445438 48290890876 60363613595 84509059033 120727227190 169018118066 229381731661 241454454380 338036236132 422545295165 458763463322 845090590330 917526926644 1146908658305 1605672121627 1690181180660 2293817316610 3211344243254 4587634633220 6422688486508 8028360608135 16056721216270 32113442432540