Search a number
-
+
188400381488 = 241119311181157
BaseRepresentation
bin1010111101110110001…
…0011010111000110000
3200000021221120000021222
42233131202122320300
511041320444201423
6222314442004212
716416510551144
oct2573542327060
9600257500258
10188400381488
117299a116120
123061aaa6668
13149c6100797
149193727224
154d79e403c8
hex2bdd89ae30

188400381488 has 80 divisors (see below), whose sum is σ = 420518442240. Its totient is φ = 80868038400.

The previous prime is 188400381479. The next prime is 188400381509. The reversal of 188400381488 is 884183004881.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949406 + ... + 1130562.

It is an arithmetic number, because the mean of its divisors is an integer number (5256480528).

Almost surely, 2188400381488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188400381488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210259221120).

188400381488 is an abundant number, since it is smaller than the sum of its proper divisors (232118060752).

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

188400381488 is a wasteful number, since it uses less digits than its factorization.

188400381488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181506 (or 181500 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 53.

The spelling of 188400381488 in words is "one hundred eighty-eight billion, four hundred million, three hundred eighty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 311 418 622 836 1244 1672 2488 3344 3421 4976 5909 6842 11818 13684 23636 27368 47272 54736 64999 94544 129998 181157 259996 362314 519992 724628 1039984 1449256 1992727 2898512 3441983 3985454 6883966 7970908 13767932 15941816 27535864 31883632 37861813 55071728 56339827 75723626 112679654 151447252 225359308 302894504 450718616 605789008 619738097 901437232 1070456713 1239476194 2140913426 2478952388 4281826852 4957904776 8563653704 9915809552 11775023843 17127307408 23550047686 47100095372 94200190744 188400381488