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88038323208 = 233211267150827
BaseRepresentation
bin101000111111101111…
…1100011010000001000
322102020112122012110100
41101333133203100020
52420300302320313
6104235542445400
76234446254143
oct1217737432010
9272215565410
1088038323208
113437837a300
121508ba33860
1383c05a5494
14439257b05a
152454039173
hex147f7e3408

88038323208 has 144 divisors (see below), whose sum is σ = 265997244240. Its totient is φ = 26279922240.

The previous prime is 88038323119. The next prime is 88038323213. The reversal of 88038323208 is 80232383088.

It is a happy number.

It is a super-2 number, since 2×880383232082 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 508291 + ... + 659117.

It is an arithmetic number, because the mean of its divisors is an integer number (1847203085).

Almost surely, 288038323208 is an apocalyptic number.

88038323208 is a gapful number since it is divisible by the number (88) 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 88038323208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132998622120).

88038323208 is an abundant number, since it is smaller than the sum of its proper divisors (177958921032).

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

88038323208 is a wasteful number, since it uses less digits than its factorization.

88038323208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150928 (or 150910 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 88038323208 in words is "eighty-eight billion, thirty-eight million, three hundred twenty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 121 132 134 198 201 242 264 268 363 396 402 484 536 603 726 737 792 804 968 1089 1206 1452 1474 1608 2178 2211 2412 2904 2948 4356 4422 4824 5896 6633 8107 8712 8844 13266 16214 17688 24321 26532 32428 48642 53064 64856 72963 97284 145926 150827 194568 291852 301654 452481 583704 603308 904962 1206616 1357443 1659097 1809924 2714886 3318194 3619848 4977291 5429772 6636388 9954582 10105409 10859544 13272776 14931873 18250067 19909164 20210818 29863746 30316227 36500134 39818328 40421636 54750201 59727492 60632454 73000268 80843272 90948681 109500402 111159499 119454984 121264908 146000536 164250603 181897362 219000804 222318998 242529816 328501206 333478497 363794724 438001608 444637996 657002412 666956994 727589448 889275992 1000435491 1222754489 1314004824 1333913988 2000870982 2445508978 2667827976 3668263467 4001741964 4891017956 7336526934 8003483928 9782035912 11004790401 14673053868 22009580802 29346107736 44019161604 88038323208