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32821138428 = 22313732882081
BaseRepresentation
bin11110100100010010…
…101101001111111100
310010201100202120202120
4132210102231033330
51014204202412203
623024450522540
72241224034141
oct364422551774
9103640676676
1032821138428
1112a1274a0a1
12643b896450
1331309b3990
141834db23c8
15cc163bb53
hex7a44ad3fc

32821138428 has 48 divisors (see below), whose sum is σ = 83603434656. Its totient is φ = 9960468480.

The previous prime is 32821138393. The next prime is 32821138429. The reversal of 32821138428 is 82483112823.

It is a super-2 number, since 2×328211384282 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32821138428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32821138429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429653 + ... + 1452428.

It is an arithmetic number, because the mean of its divisors is an integer number (1741738222).

Almost surely, 232821138428 is an apocalyptic number.

It is an amenable number.

32821138428 is an abundant number, since it is smaller than the sum of its proper divisors (50782296228).

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

32821138428 is a wasteful number, since it uses less digits than its factorization.

32821138428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882174 (or 2882172 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 32821138428 in words is "thirty-two billion, eight hundred twenty-one million, one hundred thirty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 876 949 1898 2847 3796 5694 11388 2882081 5764162 8646243 11528324 17292486 34584972 37467053 74934106 112401159 149868212 210391913 224802318 420783826 449604636 631175739 841567652 1262351478 2524702956 2735094869 5470189738 8205284607 10940379476 16410569214 32821138428