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20342777878878 = 237213233298041
BaseRepresentation
bin1001010000000011011000…
…00011001001100101011110
32200000202021011111221100020
410220001230003021211132
510131244002114111003
6111133202041413010
74166500666641300
oct450015403114536
980022234457306
1020342777878878
116533361860944
12234669719a166
13b474148483c0
1450484a873970
15254267d46d53
hex12806c0c995e

20342777878878 has 144 divisors (see below), whose sum is σ = 51188929018416. Its totient is φ = 5342047441920.

The previous prime is 20342777878873. The next prime is 20342777878931. The reversal of 20342777878878 is 87887877724302.

It is a super-2 number, since 2×203427778788782 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20342777878873) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207443538 + ... + 207541578.

It is an arithmetic number, because the mean of its divisors is an integer number (355478673739).

Almost surely, 220342777878878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20342777878878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25594464509208).

20342777878878 is an abundant number, since it is smaller than the sum of its proper divisors (30846151139538).

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

20342777878878 is a wasteful number, since it uses less digits than its factorization.

20342777878878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98539 (or 98299 counting only the distinct ones).

The product of its (nonzero) digits is 3304390656, while the sum is 78.

The spelling of 20342777878878 in words is "twenty trillion, three hundred forty-two billion, seven hundred seventy-seven million, eight hundred seventy-eight thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 233 273 294 466 546 637 699 1274 1398 1631 1911 3029 3262 3822 4893 6058 9087 9786 11417 18174 21203 22834 34251 42406 54289 63609 68502 98041 108578 127218 148421 162867 196082 294123 296842 325734 380023 445263 588246 686287 705757 760046 890526 1140069 1274533 1372574 1411514 2058861 2117271 2280138 2549066 2660161 3823599 4117722 4234542 4804009 4940299 5320322 7647198 7980483 8921731 9608018 9880598 14412027 14820897 15960966 17843462 22843553 26765193 28824054 29641794 34582093 45687106 53530386 62452117 68530659 69164186 103746279 124904234 137061318 159904871 187356351 207492558 296966189 319809742 374712702 479714613 593932378 890898567 959429226 1119334097 1781797134 2078763323 2238668194 3358002291 4157526646 5322547849 6236289969 6716004582 10645095698 12472579938 14551343261 15967643547 29102686522 31935287094 37257834943 43654029783 69193122037 74515669886 87308059566 111773504829 138386244074 207579366111 223547009658 260804844601 415158732222 484351854259 521609689202 782414533803 968703708518 1453055562777 1564829067606 2906111125554 3390462979813 6780925959626 10171388939439 20342777878878