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116097460870716 = 2232131392337659601
BaseRepresentation
bin11010011001011100001011…
…111010100001111000111100
3120020001210211122220112200200
4122121130023322201320330
5110204120044440330331
61050530234235323500
733311523211000203
oct3231341372417074
9506053748815620
10116097460870716
1133aa0725009296
12110305708b0590
134ca1c36091110
14209520b87623a
15d64e64a2a5e6
hex69970bea1e3c

116097460870716 has 144 divisors (see below), whose sum is σ = 319682987376480. Its totient is φ = 35313084518400.

The previous prime is 116097460870693. The next prime is 116097460870717. The reversal of 116097460870716 is 617078064790611.

116097460870716 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 9 + 7 + 4 + 608 + 7 + 0 + 7 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116097460870717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11327316 + ... + 18986916.

It is an arithmetic number, because the mean of its divisors is an integer number (2220020745670).

Almost surely, 2116097460870716 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 116097460870716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159841493688240).

116097460870716 is an abundant number, since it is smaller than the sum of its proper divisors (203585526505764).

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

116097460870716 is a wasteful number, since it uses less digits than its factorization.

116097460870716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659996 (or 7659991 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 116097460870716 in words is "one hundred sixteen trillion, ninety-seven billion, four hundred sixty million, eight hundred seventy thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 139 156 233 234 278 417 466 468 556 699 834 932 1251 1398 1668 1807 2097 2502 2796 3029 3614 4194 5004 5421 6058 7228 8388 9087 10842 12116 16263 18174 21684 27261 32387 32526 36348 54522 64774 65052 97161 109044 129548 194322 291483 388644 421031 582966 842062 1165932 1263093 1684124 2526186 3789279 5052372 7578558 7659601 15157116 15319202 22978803 30638404 45957606 68936409 91915212 99574813 137872818 199149626 275745636 298724439 398299252 597448878 896173317 1064684539 1194897756 1784687033 1792346634 2129369078 3194053617 3569374066 3584693268 4258738156 5354061099 6388107234 7138748132 9582160851 10708122198 12776214468 13840899007 16062183297 19164321702 21416244396 23200931429 27681798014 32124366594 38328643404 41522697021 46401862858 55363596028 64248733188 69602794287 83045394042 92803725716 124568091063 139205588574 166090788084 208808382861 248071497587 249136182126 278411177148 417616765722 496142995174 498272364252 744214492761 835233531444 992285990348 1488428985522 2232643478283 2976857971044 3224929468631 4465286956566 6449858937262 8930573913132 9674788405893 12899717874524 19349576811786 29024365217679 38699153623572 58048730435358 116097460870716