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188388117369 = 3214929712
BaseRepresentation
bin1010111101110011001…
…1101000101101111001
3200000021002110221002100
42233130303220231321
511041304324223434
6222313323054013
716416301401534
oct2573463505571
9600232427070
10188388117369
11729931a9991
1230616971309
13149c36c84ca
149191c53a1b
154d78d1b699
hex2bdcce8b79

188388117369 has 27 divisors (see below), whose sum is σ = 274237136719. Its totient is φ = 124620703440.

The previous prime is 188388117367. The next prime is 188388117389. The reversal of 188388117369 is 963711883881.

The square root of 188388117369 is 434037.

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

188388117369 is a `hidden beast` number, since 1 + 8 + 83 + 88 + 117 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22070964969 + 166317152400 = 148563^2 + 407820^2 .

It is not a de Polignac number, because 188388117369 - 21 = 188388117367 is a prime.

It is a super-2 number, since 2×1883881173692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188388117361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194014054 + ... + 194015024.

Almost surely, 2188388117369 is an apocalyptic number.

188388117369 is the 434037-th square number.

188388117369 is the 217019-th centered octagonal number.

It is an amenable number.

188388117369 is a deficient number, since it is larger than the sum of its proper divisors (85849019350).

188388117369 is an frugal number, since it uses more digits than its factorization.

188388117369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 1123 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 188388117369 in words is "one hundred eighty-eight billion, three hundred eighty-eight million, one hundred seventeen thousand, three hundred sixty-nine".

Divisors: 1 3 9 149 447 971 1341 2913 8739 22201 66603 144679 199809 434037 942841 1302111 2828523 8485569 21557171 64671513 140483309 194014539 421449927 1264349781 20932013041 62796039123 188388117369