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172848894001 = 72593932
BaseRepresentation
bin1010000011111010011…
…0001101000000110001
3121112011010200120222221
42200332212031000301
510312443304102001
6211223343401041
715326233233400
oct2407646150061
9545133616887
10172848894001
1167339770423
12295ba8b3181
13133b8243194
14851a187637
1547699e21a1
hex283e98d031

172848894001 has 9 divisors (see below), whose sum is σ = 201072507051. Its totient is φ = 148153700352.

The previous prime is 172848893977. The next prime is 172848894041. The reversal of 172848894001 is 100498848271.

The square root of 172848894001 is 415751.

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

It can be written as a sum of positive squares in only one way, i.e., 36079103025 + 136769790976 = 189945^2 + 369824^2 .

It is not a de Polignac number, because 172848894001 - 213 = 172848885809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 172848894001.

It is not an unprimeable number, because it can be changed into a prime (172848894041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2880561 + ... + 2939953.

Almost surely, 2172848894001 is an apocalyptic number.

172848894001 is the 415751-st square number.

172848894001 is the 207876-th centered octagonal number.

It is an amenable number.

172848894001 is a deficient number, since it is larger than the sum of its proper divisors (28223613050).

172848894001 is an frugal number, since it uses more digits than its factorization.

172848894001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118800 (or 59400 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The spelling of 172848894001 in words is "one hundred seventy-two billion, eight hundred forty-eight million, eight hundred ninety-four thousand, one".

Divisors: 1 7 49 59393 415751 2910257 3527528449 24692699143 172848894001