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172314651664 = 2415726612
BaseRepresentation
bin1010000001111011000…
…0001110110000010000
3121110202220102021021201
42200132300032300100
510310400022323124
6211054341000544
715310055241511
oct2403660166020
9543686367251
10172314651664
1167095146231
122948b9b3154
131333165c15c
1484a923aa08
154737b63144
hex281ec0ec10

172314651664 has 45 divisors (see below), whose sum is σ = 336508765911. Its totient is φ = 85479039360.

The previous prime is 172314651637. The next prime is 172314651673. The reversal of 172314651664 is 466156413271.

It is a happy number.

The square root of 172314651664 is 415108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1752259600 + 170562392064 = 41860^2 + 412992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 260687494 + ... + 260688154.

Almost surely, 2172314651664 is an apocalyptic number.

172314651664 is the 415108-th square number.

It is an amenable number.

172314651664 is a deficient number, since it is larger than the sum of its proper divisors (164194114247).

172314651664 is an frugal number, since it uses more digits than its factorization.

172314651664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 820 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The spelling of 172314651664 in words is "one hundred seventy-two billion, three hundred fourteen million, six hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 157 314 628 661 1256 1322 2512 2644 5288 10576 24649 49298 98596 103777 197192 207554 394384 415108 436921 830216 873842 1660432 1747684 3495368 6990736 16292989 32585978 65171956 68596597 130343912 137193194 260687824 274386388 548772776 1097545552 10769665729 21539331458 43078662916 86157325832 172314651664