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116676730374057 = 327191249239932531
BaseRepresentation
bin11010100001110111101011…
…000100010100011110101001
3120022010012000221200020220100
4122201313223010110132221
5110243112420433432212
61052052314443220013
733401421101352360
oct3241675304243651
9508105027606810
10116676730374057
11341a43615a3917
1211104894b17609
135014750bb7549
1420b52807dc7d7
15d75069933bdc
hex6a1deb1147a9

116676730374057 has 96 divisors (see below), whose sum is σ = 202999680000000. Its totient is φ = 63084524405760.

The previous prime is 116676730374041. The next prime is 116676730374073. The reversal of 116676730374057 is 750473037676611.

It is a happy number.

116676730374057 is a `hidden beast` number, since 1 + 1 + 66 + 76 + 73 + 0 + 37 + 405 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (116676730374041) and next prime (116676730374073).

It is not a de Polignac number, because 116676730374057 - 24 = 116676730374041 is a prime.

It is a super-2 number, since 2×1166767303740572 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 116676730373985 and 116676730374003.

It is not an unprimeable number, because it can be changed into a prime (116676730374097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3586615882 + ... + 3586648412.

It is an arithmetic number, because the mean of its divisors is an integer number (2114580000000).

Almost surely, 2116676730374057 is an apocalyptic number.

It is an amenable number.

116676730374057 is a deficient number, since it is larger than the sum of its proper divisors (86322949625943).

116676730374057 is a wasteful number, since it uses less digits than its factorization.

116676730374057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36211 (or 36208 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 63.

The spelling of 116676730374057 in words is "one hundred sixteen trillion, six hundred seventy-six billion, seven hundred thirty million, three hundred seventy-four thousand, fifty-seven".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 1249 2399 3747 7197 8743 11241 16793 21591 23731 26229 32531 45581 50379 71193 78687 97593 136743 151137 166117 213579 227717 292779 319067 410229 498351 618089 683151 957201 1495053 1854267 2049453 2871603 2996351 4326623 5562801 8989053 12979869 20974457 26967159 38939607 40631219 56930669 62923371 78041869 121893657 170792007 188770113 234125607 284418533 365680971 398514683 512376021 546293083 702376821 771993161 853255599 1195544049 1482795511 1638879249 2315979483 2559766797 3586632147 4448386533 4916637747 5403952127 6947938449 10379568577 13345159599 16211856381 31138705731 48635569143 93416117193 97474294381 292422883143 682320060667 877268649429 1852011593239 2046960182001 5556034779717 6140880546003 12964081152673 16668104339151 38892243458019 116676730374057