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115290590064 = 243131016918169
BaseRepresentation
bin110101101011111011…
…0101100101101110000
3102000120210120210120020
41223113312230231300
53342103342340224
6124544101243440
711221002563166
oct1532766545560
9360523523506
10115290590064
11449925947a1
121a416703580
13ab44610480
145819ac9236
152eeb7eec79
hex1ad7dacb70

115290590064 has 80 divisors (see below), whose sum is σ = 320793530400. Its totient is φ = 35468587008.

The previous prime is 115290590047. The next prime is 115290590087. The reversal of 115290590064 is 460095092511.

It is a junction number, because it is equal to n+sod(n) for n = 115290589998 and 115290590025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6336372 + ... + 6354540.

It is an arithmetic number, because the mean of its divisors is an integer number (4009919130).

Almost surely, 2115290590064 is an apocalyptic number.

It is an amenable number.

115290590064 is an abundant number, since it is smaller than the sum of its proper divisors (205502940336).

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

115290590064 is a wasteful number, since it uses less digits than its factorization.

115290590064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28362 (or 28356 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 115290590064 in words is "one hundred fifteen billion, two hundred ninety million, five hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 10169 18169 20338 30507 36338 40676 54507 61014 72676 81352 109014 122028 132197 145352 162704 218028 236197 244056 264394 290704 396591 436056 472394 488112 528788 708591 793182 872112 944788 1057576 1417182 1586364 1889576 2115152 2834364 3172728 3779152 5668728 6345456 11337456 184760561 369521122 554281683 739042244 1108563366 1478084488 2217126732 2401887293 2956168976 4434253464 4803774586 7205661879 8868506928 9607549172 14411323758 19215098344 28822647516 38430196688 57645295032 115290590064