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2077039887741 = 3271313729363179
BaseRepresentation
bin11110001110011001001…
…110011000010101111101
321100120012110222122022200
4132032121032120111331
5233012234202401431
64230102353102113
7303026661513540
oct36163116302575
97316173878280
102077039887741
1173095a9607a5
12296664557939
13120b3033c370
147275a446857
1539066685ee6
hex1e39939857d

2077039887741 has 96 divisors (see below), whose sum is σ = 3732221525760. Its totient is φ = 1083855485952.

The previous prime is 2077039887701. The next prime is 2077039887749. The reversal of 2077039887741 is 1477889307702.

It is not a de Polignac number, because 2077039887741 - 26 = 2077039887677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077039887749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32843890 + ... + 32907068.

It is an arithmetic number, because the mean of its divisors is an integer number (38877307560).

Almost surely, 22077039887741 is an apocalyptic number.

2077039887741 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2077039887741 is a deficient number, since it is larger than the sum of its proper divisors (1655181638019).

2077039887741 is a wasteful number, since it uses less digits than its factorization.

2077039887741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63635 (or 63632 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 2077039887741 in words is "two trillion, seventy-seven billion, thirty-nine million, eight hundred eighty-seven thousand, seven hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 137 273 293 411 819 879 959 1233 1781 2051 2637 2877 3809 5343 6153 8631 11427 12467 16029 18459 26663 34281 37401 40141 63179 79989 112203 120423 189537 239967 280987 361269 442253 521833 568611 821327 842961 1326759 1565499 2463981 2528883 3652831 3980277 4696497 5749289 7391943 8655523 10958493 17247867 18511447 25966569 32875479 51743601 55534341 60588661 77899707 112521799 129580129 166603023 181765983 240648811 337565397 388740387 545297949 721946433 787652593 1012696191 1166221161 1684541677 2165839299 2362957779 2536068239 5053625031 7088873337 7608204717 15160875093 17752477673 22824614151 32968887107 53257433019 98906661321 159772299057 230782209749 296719983963 692346629247 2077039887741