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32023220131232 = 25111271574562669
BaseRepresentation
bin1110100011111111111001…
…01010010001010110100000
311012101101112021022111022122
413101333330222101112200
513144132023323144412
6152035133024123412
76513413150635001
oct721777452212640
9135341467274278
1032023220131232
11a226a75a14140
123712393766568
1314b3a13547b35
147c9d09a6b1a8
153a7ee659a572
hex1d1ffca915a0

32023220131232 has 96 divisors (see below), whose sum is σ = 69760231188480. Its totient is φ = 14349408353280.

The previous prime is 32023220131219. The next prime is 32023220131237. The reversal of 32023220131232 is 23213102232023.

It is not an unprimeable number, because it can be changed into a prime (32023220131237) 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, 4737194 + ... + 9299862.

It is an arithmetic number, because the mean of its divisors is an integer number (726669074880).

Almost surely, 232023220131232 is an apocalyptic number.

32023220131232 is a gapful number since it is divisible by the number (32) 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 32023220131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34880115594240).

32023220131232 is an abundant number, since it is smaller than the sum of its proper divisors (37737011057248).

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

32023220131232 is a wasteful number, since it uses less digits than its factorization.

32023220131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562974 (or 4562966 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 32023220131232 its reverse (23213102232023), we get a palindrome (55236322363255).

The spelling of 32023220131232 in words is "thirty-two trillion, twenty-three billion, two hundred twenty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 127 157 176 254 314 352 508 628 1016 1256 1397 1727 2032 2512 2794 3454 4064 5024 5588 6908 11176 13816 19939 22352 27632 39878 44704 55264 79756 159512 219329 319024 438658 638048 877316 1754632 3509264 4562669 7018528 9125338 18250676 36501352 50189359 73002704 100378718 146005408 200757436 401514872 579458963 716339033 803029744 1158917926 1432678066 1606059488 2317835852 2865356132 4635671704 5730712264 6374048593 7879729363 9271343408 11461424528 12748097186 15759458726 18542686816 22922849056 25496194372 31518917452 50992388744 63037834904 90975057191 101984777488 126075669808 181950114382 203969554976 252151339616 363900228764 727800457528 1000725629101 1455600915056 2001451258202 2911201830112 4002902516404 8005805032808 16011610065616 32023220131232