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172171806432 = 25341111739161
BaseRepresentation
bin1010000001011000111…
…1010100011011100000
3121110101221121222110120
42200112033110123200
510310101440301212
6211032235200240
715303402131223
oct2402617243340
9543357558416
10172171806432
116702155051a
122944bba6080
131330ab96a52
1484942955ba
15472a34888c
hex28163d46e0

172171806432 has 96 divisors (see below), whose sum is σ = 463400499744. Its totient is φ = 55939276800.

The previous prime is 172171806419. The next prime is 172171806493. The reversal of 172171806432 is 234608171271.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4376932 + ... + 4416092.

It is an arithmetic number, because the mean of its divisors is an integer number (4827088539).

Almost surely, 2172171806432 is an apocalyptic number.

172171806432 is a gapful number since it is divisible by the number (12) 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 172171806432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231700249872).

172171806432 is an abundant number, since it is smaller than the sum of its proper divisors (291228693312).

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

172171806432 is a wasteful number, since it uses less digits than its factorization.

172171806432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40332 (or 40324 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 172171806432 in words is "one hundred seventy-two billion, one hundred seventy-one million, eight hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1117 1312 1968 2234 3351 3936 4468 6702 8936 13404 17872 26808 35744 39161 45797 53616 78322 91594 107232 117483 137391 156644 183188 234966 274782 313288 366376 469932 549564 626576 732752 939864 1099128 1253152 1465504 1605601 1879728 2198256 3211202 3759456 4396512 4816803 6422404 9633606 12844808 19267212 25689616 38534424 43742837 51379232 77068848 87485674 131228511 154137696 174971348 262457022 349942696 524914044 699885392 1049828088 1399770784 1793456317 2099656176 3586912634 4199312352 5380368951 7173825268 10760737902 14347650536 21521475804 28695301072 43042951608 57390602144 86085903216 172171806432