Search a number
-
+
32409691088401 = 112192272392
BaseRepresentation
bin1110101111001111110000…
…00111111110011000010001
311020202100002002121021112001
413113213320013332120101
513222000021404312101
6152532450114034001
76553344233603314
oct727477007763021
9136670062537461
1032409691088401
11a365966778400
12377526bb78901
1315112b4000c93
148008cd10c97b
153b30b538d901
hex1d79f81fe611

32409691088401 has 27 divisors (see below), whose sum is σ = 37598877562953. Its totient is φ = 27911627880840.

The previous prime is 32409691088347. The next prime is 32409691088459. The reversal of 32409691088401 is 10488019690423.

The square root of 32409691088401 is 5692951.

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

It is not a de Polignac number, because 32409691088401 - 225 = 32409657533969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32409691088461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1189813140 + ... + 1189840378.

Almost surely, 232409691088401 is an apocalyptic number.

32409691088401 is the 5692951-st square number.

32409691088401 is the 2846476-th centered octagonal number.

It is an amenable number.

32409691088401 is a deficient number, since it is larger than the sum of its proper divisors (5189186474552).

32409691088401 is an frugal number, since it uses more digits than its factorization.

32409691088401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54538 (or 27269 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 32409691088401 in words is "thirty-two trillion, four hundred nine billion, six hundred ninety-one million, eighty-eight thousand, four hundred one".

Divisors: 1 11 19 121 209 361 2299 3971 27239 43681 299629 517541 3295919 5692951 9833279 62622461 108166069 741963121 1189826759 8161594331 14097299299 89777537641 155070292289 267848686681 1705773215179 2946335553491 32409691088401