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236164796840 = 23572116136521
BaseRepresentation
bin1101101111110010000…
…1001101000110101000
3211120120201201201022102
43123330201031012220
512332131141444330
6300254223112532
723030245436330
oct3337441150650
9746521651272
10236164796840
119117a964355
123992b142748
131936895cc4b
14b6051960c0
1562233d9945
hex36fc84d1a8

236164796840 has 128 divisors (see below), whose sum is σ = 611248101120. Its totient is φ = 80443238400.

The previous prime is 236164796779. The next prime is 236164796863. The reversal of 236164796840 is 48697461632.

236164796840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2361647968402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 31 ways as a sum of consecutive naturals, for example, 36212780 + ... + 36219300.

It is an arithmetic number, because the mean of its divisors is an integer number (4775375790).

Almost surely, 2236164796840 is an apocalyptic number.

236164796840 is a gapful number since it is divisible by the number (20) 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 236164796840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305624050560).

236164796840 is an abundant number, since it is smaller than the sum of its proper divisors (375083304280).

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

236164796840 is a wasteful number, since it uses less digits than its factorization.

236164796840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7363 (or 7359 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 236164796840 in words is "two hundred thirty-six billion, one hundred sixty-four million, seven hundred ninety-six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 211 280 422 613 844 1055 1226 1477 1688 2110 2452 2954 3065 4220 4291 4904 5908 6130 6521 7385 8440 8582 11816 12260 13042 14770 17164 21455 24520 26084 29540 32605 34328 42910 45647 52168 59080 65210 85820 91294 129343 130420 171640 182588 228235 258686 260840 365176 456470 517372 646715 905401 912940 1034744 1293430 1375931 1810802 1825880 2586860 2751862 3621604 3997373 4527005 5173720 5503724 6879655 7243208 7994746 9054010 9631517 11007448 13759310 15989492 18108020 19263034 19986865 27518620 27981611 31978984 36216040 38526068 39973730 48157585 55037240 55963222 77052136 79947460 96315170 111926444 139908055 159894920 192630340 223852888 279816110 385260680 559632220 843445703 1119264440 1686891406 3373782812 4217228515 5904119921 6747565624 8434457030 11808239842 16868914060 23616479684 29520599605 33737828120 47232959368 59041199210 118082398420 236164796840