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2179080396 = 22323167151193
BaseRepresentation
bin1000000111100010…
…0010000011001100
312121212022202100100
42001320202003030
513430321033041
61000121131100
7104666610033
oct20170420314
95555282310
102179080396
11a19041399
12509929a90
132895b87ac
1416959371a
15cb4886b6
hex81e220cc

2179080396 has 144 divisors (see below), whose sum is σ = 5839095808. Its totient is φ = 684288000.

The previous prime is 2179080391. The next prime is 2179080419. The reversal of 2179080396 is 6930809712.

It is not an unprimeable number, because it can be changed into a prime (2179080391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11290476 + ... + 11290668.

Almost surely, 22179080396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2179080396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919547904).

2179080396 is an abundant number, since it is smaller than the sum of its proper divisors (3660015412).

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

2179080396 is a wasteful number, since it uses less digits than its factorization.

2179080396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2179080396 is about 46680.6212040928. The cubic root of 2179080396 is about 1296.4559081313.

The spelling of 2179080396 in words is "two billion, one hundred seventy-nine million, eighty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 67 93 124 134 151 186 193 201 268 279 302 372 386 402 453 558 579 603 604 772 804 906 1116 1158 1206 1359 1737 1812 2077 2316 2412 2718 3474 4154 4681 5436 5983 6231 6948 8308 9362 10117 11966 12462 12931 14043 17949 18693 18724 20234 23932 24924 25862 28086 29143 30351 35898 37386 38793 40468 42129 51724 53847 56172 58286 60702 71796 74772 77586 84258 87429 91053 107694 116379 116572 121404 155172 168516 174858 182106 215388 232758 262287 313627 349716 364212 400861 465516 524574 627254 801722 903433 940881 1049148 1202583 1254508 1603444 1806866 1881762 1952581 2405166 2710299 2822643 3607749 3613732 3763524 3905162 4810332 5420598 5645286 5857743 7215498 7810324 8130897 10841196 11290572 11715486 14430996 16261794 17573229 23430972 32523588 35146458 60530011 70292916 121060022 181590033 242120044 363180066 544770099 726360132 1089540198 2179080396