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11712414876078 = 237353530320249
BaseRepresentation
bin1010101001110000001001…
…0101000000000110101110
31112110200210022221010101110
42222130002111000012232
53013344011202013303
640524335322452450
72316123362544000
oct252340225000656
945420708833343
1011712414876078
113806230945774
121391b40064126
1366c6259751c7
142c6c53612370
15154a00633703
hexaa7025401ae

11712414876078 has 128 divisors (see below), whose sum is σ = 27839635200000. Its totient is φ = 3282483300096.

The previous prime is 11712414875999. The next prime is 11712414876137. The reversal of 11712414876078 is 87067841421711.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 578409298 + ... + 578429546.

It is an arithmetic number, because the mean of its divisors is an integer number (217497150000).

Almost surely, 211712414876078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11712414876078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13919817600000).

11712414876078 is an abundant number, since it is smaller than the sum of its proper divisors (16127220323922).

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

11712414876078 is a wasteful number, since it uses less digits than its factorization.

11712414876078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25631 (or 25617 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 57.

The spelling of 11712414876078 in words is "eleven trillion, seven hundred twelve billion, four hundred fourteen million, eight hundred seventy-six thousand, seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 343 371 686 742 1029 1113 2058 2226 2597 5194 5303 7791 10606 15582 15909 18179 20249 31818 36358 37121 40498 54537 60747 74242 109074 111363 121494 141743 222726 259847 281059 283486 425229 519694 562118 779541 843177 850458 992201 1073197 1559082 1686354 1818929 1967413 1984402 2146394 2976603 3219591 3637858 3934826 5456787 5902239 5953206 6439182 6945407 7512379 10913574 11804478 13771891 13890814 15024758 20836221 22537137 27543782 41315673 41672442 45074274 52586653 82631346 96403237 105173306 107380447 157759959 192806474 214760894 289209711 315519918 322141341 368106571 578419422 644282682 736213142 751663129 1104319713 1503326258 2208639426 2254989387 4509978774 5261641903 5691163691 10523283806 11382327382 15784925709 17073491073 31569851418 34146982146 36831493321 39838145837 73662986642 79676291674 110494479963 119514437511 220988959926 239028875022 278867020859 557734041718 836601062577 1673202125154 1952069146013 3904138292026 5856207438039 11712414876078