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188443720146 = 2311196714915053
BaseRepresentation
bin1010111110000000011…
…1101111100111010010
3200000101222002211202110
42233200013233213102
511041413043021041
6222323030530150
716420545123003
oct2574007574722
9600358084673
10188443720146
1172a116270a0
1230631506956
1314a02095b66
1491993a91aa
154d7db51516
hex2be01ef9d2

188443720146 has 128 divisors (see below), whose sum is σ = 442226304000. Its totient is φ = 52930056960.

The previous prime is 188443720103. The next prime is 188443720147. The reversal of 188443720146 is 641027344881.

It is a super-2 number, since 2×1884437201462 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 188443720095 and 188443720104.

It is not an unprimeable number, because it can be changed into a prime (188443720147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12511156 + ... + 12526208.

It is an arithmetic number, because the mean of its divisors is an integer number (3454893000).

Almost surely, 2188443720146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188443720146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221113152000).

188443720146 is an abundant number, since it is smaller than the sum of its proper divisors (253782583854).

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

188443720146 is a wasteful number, since it uses less digits than its factorization.

188443720146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304.

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 188443720146 in words is "one hundred eighty-eight billion, four hundred forty-three million, seven hundred twenty thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 67 114 134 149 201 209 298 402 418 447 627 737 894 1254 1273 1474 1639 2211 2546 2831 3278 3819 4422 4917 5662 7638 8493 9834 9983 14003 15053 16986 19966 28006 29949 30106 31141 42009 45159 59898 62282 84018 90318 93423 109813 165583 186846 189677 219626 286007 329439 331166 379354 496749 569031 572014 658878 858021 993498 1008551 1138062 1716042 2017102 2086447 2242897 3025653 3146077 4172894 4485794 6051306 6259341 6292154 6728691 9438231 11094061 12518682 13457382 18876462 19162469 22188122 24671867 33282183 38324938 42615043 49343734 57487407 66564366 74015601 85230086 114974814 127845129 148031202 150274099 210787159 255690258 300548198 421574318 450822297 468765473 632361477 901644594 937530946 1264722954 1406296419 1653015089 2812592838 2855207881 3306030178 4959045267 5710415762 8565623643 9918090534 17131247286 31407286691 62814573382 94221860073 188443720146