Search a number
-
+
99976150204 = 2272173473
BaseRepresentation
bin101110100011100001…
…0101111110010111100
3100120001111202122110221
41131013002233302330
53114222343301304
6113532311511124
710136334153400
oct1350702576274
9316044678427
1099976150204
1139443a26427
12174619884a4
1395738abc38
144ba5c13100
1529020c8054
hex17470afcbc

99976150204 has 144 divisors (see below), whose sum is σ = 220941302400. Its totient is φ = 39468503424.

The previous prime is 99976150199. The next prime is 99976150223. The reversal of 99976150204 is 40205167999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×999761502042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2127152109 + ... + 2127152155.

It is an arithmetic number, because the mean of its divisors is an integer number (1534314600).

Almost surely, 299976150204 is an apocalyptic number.

99976150204 is a gapful number since it is divisible by the number (94) 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 99976150204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110470651200).

99976150204 is an abundant number, since it is smaller than the sum of its proper divisors (120965152196).

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

99976150204 is an frugal number, since it uses more digits than its factorization.

99976150204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 99976150204 in words is "ninety-nine billion, nine hundred seventy-six million, one hundred fifty thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 47 49 68 94 98 119 188 196 238 289 329 476 578 658 799 833 1156 1316 1598 1666 2023 2209 2303 3196 3332 4046 4418 4606 4913 5593 8092 8836 9212 9826 11186 13583 14161 15463 19652 22372 27166 28322 30926 34391 37553 39151 54332 56644 61852 68782 75106 78302 95081 103823 108241 137564 150212 156604 190162 207646 216482 230911 240737 262871 380324 415292 432964 461822 481474 525742 638401 665567 726761 923644 962948 1051484 1276802 1331134 1453522 1616377 1764991 1840097 2553604 2662268 2907044 3232754 3529982 3680194 4468807 5087327 6465508 7059964 7360388 8937614 10174654 10852817 11314639 12354937 17875228 20349308 21705634 22629278 24709874 30004847 31281649 43411268 45258556 49419748 60009694 62563298 75969719 86484559 120019388 125126596 151939438 172969118 210033929 303878876 345938236 420067858 510082399 531788033 840135716 1020164798 1063576066 1470237503 2040329596 2127152132 2940475006 3570576793 5880950012 7141153586 14282307172 24994037551 49988075102 99976150204