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77621076042312 = 2331123121710504063
BaseRepresentation
bin10001101001100010010000…
…101010100010001001001000
3101011211111120020201200110210
4101221202100222202021020
540133220430431323222
6433030344032041120
722230636424116615
oct2151422052421110
9334744506650423
1077621076042312
1122806a05937550
1288575993931a0
13344083657a48a
141524c470cb50c
158e91804d0d0c
hex469890aa2248

77621076042312 has 128 divisors (see below), whose sum is σ = 221079455170560. Its totient is φ = 22480373329920.

The previous prime is 77621076042239. The next prime is 77621076042313. The reversal of 77621076042312 is 21324067012677.

It is not an unprimeable number, because it can be changed into a prime (77621076042313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2137593 + ... + 12641655.

It is an arithmetic number, because the mean of its divisors is an integer number (1727183243520).

Almost surely, 277621076042312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77621076042312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110539727585280).

77621076042312 is an abundant number, since it is smaller than the sum of its proper divisors (143458379128248).

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

77621076042312 is a wasteful number, since it uses less digits than its factorization.

77621076042312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505323 (or 10505319 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 77621076042312 in words is "seventy-seven trillion, six hundred twenty-one billion, seventy-six million, forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1217 1518 2024 2434 3036 3651 4868 6072 7302 9736 13387 14604 26774 27991 29208 40161 53548 55982 80322 83973 107096 111964 160644 167946 223928 307901 321288 335892 615802 671784 923703 1231604 1847406 2463208 3694812 7389624 10504063 21008126 31512189 42016252 63024378 84032504 115544693 126048756 231089386 241593449 252097512 346634079 462178772 483186898 693268158 724780347 924357544 966373796 1386536316 1449560694 1932747592 2657527939 2773072632 2899121388 5315055878 5798242776 7972583817 10630111756 12783444671 15945167634 21260223512 25566889342 31890335268 38350334013 51133778684 63780670536 76700668026 102267557368 140617891381 153401336052 281235782762 294019227433 306802672104 421853674143 562471565524 588038454866 843707348286 882057682299 1124943131048 1176076909732 1687414696572 1764115364598 2352153819464 3234211501763 3374829393144 3528230729196 6468423003526 7056461458392 9702634505289 12936846007052 19405269010578 25873692014104 38810538021156 77621076042312