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2331681839856 = 243229599463609
BaseRepresentation
bin100001111011100011000…
…100010101101011110000
322020220110220202002122100
4201323203010111223300
5301200241022333411
64543054305540400
7330313151424435
oct41734304255360
98226426662570
102331681839856
11819951680306
12317a8b644700
1313bb52016785
1480bd5555b8c
15409bbc7d456
hex21ee3115af0

2331681839856 has 120 divisors (see below), whose sum is σ = 6864902694000. Its totient is φ = 737707170816.

The previous prime is 2331681839791. The next prime is 2331681839863. The reversal of 2331681839856 is 6589381861332.

2331681839856 is a `hidden beast` number, since 2 + 3 + 316 + 8 + 183 + 98 + 56 = 666.

It is a super-2 number, since 2×23316818398562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2331681839793 and 2331681839802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4485421 + ... + 4978188.

It is an arithmetic number, because the mean of its divisors is an integer number (57207522450).

Almost surely, 22331681839856 is an apocalyptic number.

It is an amenable number.

2331681839856 is an abundant number, since it is smaller than the sum of its proper divisors (4533220854144).

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

2331681839856 is a wasteful number, since it uses less digits than its factorization.

2331681839856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9463711 (or 9463702 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 2331681839856 in words is "two trillion, three hundred thirty-one billion, six hundred eighty-one million, eight hundred thirty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 59 72 87 116 118 144 174 177 232 236 261 348 354 464 472 522 531 696 708 944 1044 1062 1392 1416 1711 2088 2124 2832 3422 4176 4248 5133 6844 8496 10266 13688 15399 20532 27376 30798 41064 61596 82128 123192 246384 9463609 18927218 28390827 37854436 56781654 75708872 85172481 113563308 151417744 170344962 227126616 274444661 340689924 454253232 548889322 558352931 681379848 823333983 1097778644 1116705862 1362759696 1646667966 1675058793 2195557288 2233411724 2470001949 3293335932 3350117586 4391114576 4466823448 4940003898 5025176379 6586671864 6700235172 8933646896 9880007796 10050352758 13173343728 13400470344 16192234999 19760015592 20100705516 26800940688 32384469998 39520031184 40201411032 48576704997 64768939996 80402822064 97153409994 129537879992 145730114991 194306819988 259075759984 291460229982 388613639976 582920459964 777227279952 1165840919928 2331681839856