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172426873656 = 233295925116729
BaseRepresentation
bin1010000010010101110…
…0010100101100111000
3121111001201120201220210
42200211130110230320
510311112234424111
6211113430151120
715312620146362
oct2404534245470
9544051521823
10172426873656
1167142525284
12295014b24a0
131334b9919bb
1484ba0cdd32
15474292e0a6
hex2825714b38

172426873656 has 128 divisors (see below), whose sum is σ = 455323680000. Its totient is φ = 54332544000.

The previous prime is 172426873649. The next prime is 172426873657. The reversal of 172426873656 is 656378624271.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 172426873596 and 172426873605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172426873657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10298700 + ... + 10315428.

It is an arithmetic number, because the mean of its divisors is an integer number (3557216250).

Almost surely, 2172426873656 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 172426873656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227661840000).

172426873656 is an abundant number, since it is smaller than the sum of its proper divisors (282896806344).

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

172426873656 is a wasteful number, since it uses less digits than its factorization.

172426873656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17077 (or 17073 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 172426873656 in words is "one hundred seventy-two billion, four hundred twenty-six million, eight hundred seventy-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 59 87 116 118 174 177 232 236 251 348 354 472 502 696 708 753 1004 1416 1506 1711 2008 3012 3422 5133 6024 6844 7279 10266 13688 14558 14809 16729 20532 21837 29116 29618 33458 41064 43674 44427 50187 58232 59236 66916 87348 88854 100374 118472 133832 174696 177708 200748 355416 401496 429461 485141 858922 970282 987011 1288383 1455423 1717844 1940564 1974022 2576766 2910846 2961033 3435688 3881128 3948044 4198979 5153532 5821692 5922066 7896088 8397958 10307064 11643384 11844132 12596937 16795916 23688264 25193874 28623319 33591832 50387748 57246638 85869957 100775496 114493276 121770391 171739914 228986552 243540782 247739761 343479828 365311173 487081564 495479522 686959656 730622346 743219283 974163128 990959044 1461244692 1486438566 1981918088 2922489384 2972877132 5945754264 7184453069 14368906138 21553359207 28737812276 43106718414 57475624552 86213436828 172426873656