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172931951680 = 2654113180789
BaseRepresentation
bin1010000100001110001…
…1000010110001000000
3121112100220222100201021
42201003203002301000
510313131034423210
6211235511515224
715331262223145
oct2410343026100
9545326870637
10172931951680
116738163a934
1229622688b14
13133cc504237
1485272083cc
154771e4bbda
hex28438c2c40

172931951680 has 56 divisors (see below), whose sum is σ = 421838003160. Its totient is φ = 67485634560.

The previous prime is 172931951659. The next prime is 172931951761. The reversal of 172931951680 is 86159139271.

It can be written as a sum of positive squares in 4 ways, for example, as 5919148096 + 167012803584 = 76936^2 + 408672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6577275 + ... + 6603514.

It is an arithmetic number, because the mean of its divisors is an integer number (7532821485).

Almost surely, 2172931951680 is an apocalyptic number.

172931951680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172931951680 is an abundant number, since it is smaller than the sum of its proper divisors (248906051480).

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

172931951680 is a wasteful number, since it uses less digits than its factorization.

172931951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13180847 (or 13180837 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 52.

The spelling of 172931951680 in words is "one hundred seventy-two billion, nine hundred thirty-one million, nine hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 13180789 26361578 52723156 65903945 105446312 131807890 210892624 263615780 421785248 527231560 540412349 843570496 1054463120 1080824698 2108926240 2161649396 2702061745 4217852480 4323298792 5404123490 8646597584 10808246980 17293195168 21616493960 34586390336 43232987920 86465975840 172931951680