Search a number
-
+
188311049472 = 2837132694469
BaseRepresentation
bin1010111101100000110…
…1101001010100000000
3200000001201110110210210
42233120031221110000
511041130112040342
6222301531154120
716414344340020
oct2573015512400
9600051413723
10188311049472
1172953750707
12305b4ba5940
13149b07538c0
149185911a80
154d7219679c
hex2bd8369500

188311049472 has 144 divisors (see below), whose sum is σ = 616839628160. Its totient is φ = 49664434176.

The previous prime is 188311049471. The next prime is 188311049491. The reversal of 188311049472 is 274940113881.

It is a super-2 number, since 2×1883110494722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188311049471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1277347 + ... + 1417122.

Almost surely, 2188311049472 is an apocalyptic number.

188311049472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

188311049472 is an abundant number, since it is smaller than the sum of its proper divisors (428528578688).

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

188311049472 is a wasteful number, since it uses less digits than its factorization.

188311049472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694508 (or 2694494 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 188311049472 in words is "one hundred eighty-eight billion, three hundred eleven million, forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 23296 34944 69888 2694469 5388938 8083407 10777876 16166814 18861283 21555752 32333628 35028097 37722566 43111504 56583849 64667256 70056194 75445132 86223008 105084291 113167698 129334512 140112388 150890264 172446016 210168582 226335396 245196679 258669024 280224776 301780528 344892032 420337164 452670792 490393358 517338048 560449552 603561056 689784064 735590037 840674328 905341584 980786716 1034676096 1120899104 1207122112 1471180074 1681348656 1810683168 1961573432 2069352192 2241798208 2414244224 2942360148 3362697312 3621366336 3923146864 4483596416 4828488448 5884720296 6725394624 7242732672 7846293728 8967192832 11769440592 13450789248 14485465344 15692587456 23538881184 26901578496 31385174912 47077762368 62770349824 94155524736 188311049472