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77071086812196 = 2234312157332
BaseRepresentation
bin10001100001100010000010…
…110000000111110000100100
3101002212220221112221222010000
4101201202002300013300210
540100213041210442241
6431525545110101300
722143126243601461
oct2141420260076044
9332786845858100
1077071086812196
11226147342a2634
128788a8704a830
133400a06990ac9
141506390b7c668
158d9be0e33eb6
hex461882c07c24

77071086812196 has 135 divisors (see below), whose sum is σ = 208201257897633. Its totient is φ = 24860060684640.

The previous prime is 77071086812173. The next prime is 77071086812221. The reversal of 77071086812196 is 69121868017077.

The square root of 77071086812196 is 8779014.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8019374422500 + 69051712389696 = 2831850^2 + 8309736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4898681946 + ... + 4898697678.

Almost surely, 277071086812196 is an apocalyptic number.

77071086812196 is the 8779014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77071086812196

77071086812196 is an abundant number, since it is smaller than the sum of its proper divisors (131130171085437).

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

77071086812196 is an frugal number, since it uses more digits than its factorization.

77071086812196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31544 (or 15769 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 77071086812196 in words is "seventy-seven trillion, seventy-one billion, eighty-six million, eight hundred twelve thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 961 1116 1674 1922 2511 2883 3348 3844 5022 5766 8649 10044 11532 15733 17298 25947 31466 34596 47199 51894 62932 77841 94398 103788 141597 155682 188796 283194 311364 424791 487723 566388 849582 975446 1274373 1463169 1699164 1950892 2548746 2926338 4389507 5097492 5852676 8779014 13168521 15119413 17558028 26337042 30238826 39505563 45358239 52674084 60477652 79011126 90716478 136074717 158022252 181432956 247527289 272149434 408224151 495054578 544298868 742581867 816448302 990109156 1224672453 1485163734 1632896604 2227745601 2449344906 2970327468 4455491202 4898689812 6683236803 7673345959 8910982404 13366473606 15346691918 20049710409 23020037877 26732947212 30693383836 40099420818 46040075754 69060113631 80198841636 92080151508 138120227262 207180340893 237873724729 276240454524 414360681786 475747449458 621541022679 713621174187 828721363572 951494898916 1243082045358 1427242348374 2140863522561 2486164090716 2854484696748 4281727045122 6422590567683 8563454090244 12845181135366 19267771703049 25690362270732 38535543406098 77071086812196