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121776661006 = 271121315593547
BaseRepresentation
bin111000101101001110…
…1000110001000001110
3102122022211021100012221
41301122131012020032
53443344311123011
6131535440245554
711540511353050
oct1613235061016
9378284240187
10121776661006
1147710828900
121b7269108ba
13b6392c5280
145c732a58d0
15327ae4d971
hex1c5a74620e

121776661006 has 96 divisors (see below), whose sum is σ = 247342717440. Its totient is φ = 43755370560.

The previous prime is 121776661001. The next prime is 121776661007. The reversal of 121776661006 is 600166677121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121776661001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34330525 + ... + 34334071.

It is an arithmetic number, because the mean of its divisors is an integer number (2576486640).

Almost surely, 2121776661006 is an apocalyptic number.

121776661006 is an abundant number, since it is smaller than the sum of its proper divisors (125566056434).

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

121776661006 is a wasteful number, since it uses less digits than its factorization.

121776661006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 121776661006 in words is "one hundred twenty-one billion, seven hundred seventy-six million, six hundred sixty-one thousand, six".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1559 1573 1694 2002 3118 3146 3547 7094 10913 11011 17149 20267 21826 22022 24829 34298 39017 40534 46111 49658 78034 92222 120043 141869 188639 222937 240086 273119 283738 322777 377278 429187 445874 507221 546238 645554 858374 1014442 1320473 1560559 2452307 2640946 3004309 3121118 3550547 4904614 5529773 5579431 6008618 7101094 11059546 11158862 17166149 34332298 38708411 39056017 60827503 71887049 77416822 78112034 121655006 143774098 425792521 503209343 669102533 790757539 851585042 1006418686 1338205066 1581515078 4683717731 5535302773 8698332929 9367435462 11070605546 17396665858 60888330503 121776661006