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32050342705340 = 225414771103113717
BaseRepresentation
bin1110100100110010011010…
…10010101011100010111100
311012110222112111020000102102
413102121031102223202330
513200103100213032330
6152055420231044232
76515363241003041
oct722311522534274
9135428474200372
1032050342705340
11a2375239a7543
1237176a2b10678
1314b644674415b
147cb35dc991c8
153a8a82793945
hex1d264d4ab8bc

32050342705340 has 192 divisors, whose sum is σ = 72099933954048. Its totient is φ = 11951642572800.

The previous prime is 32050342705289. The next prime is 32050342705349. The reversal of 32050342705340 is 4350724305023.

It is a junction number, because it is equal to n+sod(n) for n = 32050342705294 and 32050342705303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32050342705349) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 281786162 + ... + 281899878.

It is an arithmetic number, because the mean of its divisors is an integer number (375520489344).

Almost surely, 232050342705340 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 32050342705340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36049966977024).

32050342705340 is an abundant number, since it is smaller than the sum of its proper divisors (40049591248708).

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

32050342705340 is a wasteful number, since it uses less digits than its factorization.

32050342705340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113988 (or 113986 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 38.

The spelling of 32050342705340 in words is "thirty-two trillion, fifty billion, three hundred forty-two million, seven hundred five thousand, three hundred forty".