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32131554104 = 23131995712719
BaseRepresentation
bin11101111011001100…
…001001101100111000
310001221022012001220102
4131323030021230320
51011301134212404
622432214414532
72215151463206
oct357314115470
9101838161812
1032131554104
11126994741a1
126288961448
133050b80410
1417ab58a076
15c80d2571e
hex77b309b38

32131554104 has 64 divisors (see below), whose sum is σ = 65345280000. Its totient is φ = 14724167040.

The previous prime is 32131554083. The next prime is 32131554121. The reversal of 32131554104 is 40145513123.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11816057 + ... + 11818775.

It is an arithmetic number, because the mean of its divisors is an integer number (1021020000).

Almost surely, 232131554104 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 32131554104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32672640000).

32131554104 is an abundant number, since it is smaller than the sum of its proper divisors (33213725896).

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

32131554104 is a wasteful number, since it uses less digits than its factorization.

32131554104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 32131554104 in words is "thirty-two billion, one hundred thirty-one million, five hundred fifty-four thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 104 199 398 571 796 1142 1592 2284 2587 2719 4568 5174 5438 7423 10348 10876 14846 20696 21752 29692 35347 59384 70694 113629 141388 227258 282776 454516 541081 909032 1082162 1477177 1552549 2164324 2954354 3105098 4328648 5908708 6210196 7034053 11817416 12420392 14068106 20183137 28136212 40366274 56272424 80732548 161465096 308957251 617914502 1235829004 2471658008 4016444263 8032888526 16065777052 32131554104