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66500610110648 = 23717235156358901
BaseRepresentation
bin11110001111011011000010…
…01111100011010010111000
322201110101200212011121120122
433013231201033203102320
532204021222142020043
6353233543013312412
720002340053245440
oct1707554117432270
9281411625147518
1066500610110648
111a20982881612a
12756031b935708
132b14c9958496c
14125c90a7a5120
157a4c77ed7368
hex3c7b613e34b8

66500610110648 has 128 divisors (see below), whose sum is σ = 157449626219520. Its totient is φ = 25656591206400.

The previous prime is 66500610110639. The next prime is 66500610110663. The reversal of 66500610110648 is 84601101600566.

It is a super-2 number, since 2×665006101106482 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66500610110599 and 66500610110608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128993998 + ... + 1129052898.

It is an arithmetic number, because the mean of its divisors is an integer number (1230075204840).

Almost surely, 266500610110648 is an apocalyptic number.

66500610110648 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66500610110648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78724813109760).

66500610110648 is an abundant number, since it is smaller than the sum of its proper divisors (90949016108872).

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

66500610110648 is a wasteful number, since it uses less digits than its factorization.

66500610110648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110517 (or 110513 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 66500610110648 in words is "sixty-six trillion, five hundred billion, six hundred ten million, one hundred ten thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 161 184 238 322 391 476 644 782 952 1288 1564 2737 3128 5474 10948 21896 51563 58901 103126 117802 206252 235604 360941 412307 412504 471208 721882 824614 876571 1001317 1185949 1354723 1443764 1649228 1753142 2002634 2371898 2709446 2887528 3298456 3506284 4005268 4743796 5418892 6135997 7009219 7012568 8010536 8301643 9483061 9487592 10837784 12271994 14018438 16603286 18966122 20161133 23030291 24543988 28036876 33206572 37932244 40322266 46060582 49087976 56073752 66413144 75864488 80644532 92121164 141127931 161212037 161289064 184242328 282255862 322424074 564511724 644848148 1129023448 1289696296 3037112263 6074224526 12148449052 21259785841 24296898104 42519571682 51630908471 69853582049 85039143364 103261816942 139707164098 170078286728 206523633884 279414328196 361416359297 413047267768 488975074343 558828656392 722832718594 977950148686 1187510894833 1445665437188 1955900297372 2375021789666 2891330874376 3911800594744 4750043579332 8312576263831 9500087158664 16625152527662 33250305055324 66500610110648