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188445134652 = 223232121324473
BaseRepresentation
bin1010111110000000110…
…1001000111100111100
3200000102001202201002120
42233200031020330330
511041413423302102
6222323121122540
716420563133635
oct2574015107474
9600361681076
10188445134652
1172a12402905
1230631a89450
1314a0246c948
14919965688c
154d7dd306bc
hex2be0348f3c

188445134652 has 72 divisors (see below), whose sum is σ = 460051875024. Its totient is φ = 60031969536.

The previous prime is 188445134651. The next prime is 188445134671. The reversal of 188445134652 is 256431544881.

188445134652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1884451346522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 188445134595 and 188445134604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188445134651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7687888 + ... + 7712360.

Almost surely, 2188445134652 is an apocalyptic number.

188445134652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188445134652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230025937512).

188445134652 is an abundant number, since it is smaller than the sum of its proper divisors (271606740372).

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

188445134652 is a wasteful number, since it uses less digits than its factorization.

188445134652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25739 (or 25714 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The spelling of 188445134652 in words is "one hundred eighty-eight billion, four hundred forty-five million, one hundred thirty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 1058 1213 1587 2116 2426 3174 3639 4852 6348 7278 14556 24473 27899 48946 55798 73419 83697 97892 111596 146838 167394 293676 334788 562879 641677 1125758 1283354 1688637 1925031 2251516 2566708 3377274 3850062 6754548 7700124 12946217 25892434 29685749 38838651 51784868 59371498 77677302 89057247 118742996 155354604 178114494 356228988 682772227 1365544454 2048316681 2731088908 4096633362 8193266724 15703761221 31407522442 47111283663 62815044884 94222567326 188445134652