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115438306680 = 2335511876369
BaseRepresentation
bin110101110000010101…
…0001100010101111000
3102000222002112120200000
41223200222030111320
53342404201303210
6125010455313000
711224445262654
oct1534052142570
9360862476600
10115438306680
1144a58a07444
121a45807b760
13ab690bcc58
14583157ba64
15300977cac0
hex1ae0a8c578

115438306680 has 96 divisors (see below), whose sum is σ = 389069881200. Its totient is φ = 30783545856.

The previous prime is 115438306679. The next prime is 115438306681. The reversal of 115438306680 is 86603834511.

115438306680 is a `hidden beast` number, since 11 + 543 + 8 + 30 + 6 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115438306679) and next prime (115438306681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115438306681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5928465 + ... + 5947904.

Almost surely, 2115438306680 is an apocalyptic number.

115438306680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115438306680 is an abundant number, since it is smaller than the sum of its proper divisors (273631574520).

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

115438306680 is a wasteful number, since it uses less digits than its factorization.

115438306680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11876395 (or 11876379 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 115438306680 in words is "one hundred fifteen billion, four hundred thirty-eight million, three hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 11876369 23752738 35629107 47505476 59381845 71258214 95010952 106887321 118763690 142516428 178145535 213774642 237527380 285032856 320661963 356291070 427549284 475054760 534436605 641323926 712582140 855098568 961985889 1068873210 1282647852 1425164280 1603309815 1923971778 2137746420 2565295704 2885957667 3206619630 3847943556 4275492840 4809929445 5771915334 6413239260 7695887112 9619858890 11543830668 12826478520 14429788335 19239717780 23087661336 28859576670 38479435560 57719153340 115438306680