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116552355251634 = 232313131069624259
BaseRepresentation
bin11010100000000011110101…
…101110111000010110110010
3120021200022000000221101201200
4122200003311232320112302
5110234043210421023014
61051515225100512030
733356426005304121
oct3240036556702662
9507608000841650
10116552355251634
1134156638031545
12110a4763b4b616
135005abc46a753
1420ad2423b5ab8
15d71bda80aa09
hex6a00f5bb85b2

116552355251634 has 96 divisors (see below), whose sum is σ = 261754115750400. Its totient is φ = 37442295671040.

The previous prime is 116552355251569. The next prime is 116552355251641. The reversal of 116552355251634 is 436152553255611.

116552355251634 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 5 + 2 + 3 + 552 + 51 + 6 + 34 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186392997 + ... + 187017255.

It is an arithmetic number, because the mean of its divisors is an integer number (2726605372400).

Almost surely, 2116552355251634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116552355251634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130877057875200).

116552355251634 is an abundant number, since it is smaller than the sum of its proper divisors (145201760498766).

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

116552355251634 is a wasteful number, since it uses less digits than its factorization.

116552355251634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625680 (or 625677 counting only the distinct ones).

The product of its digits is 16200000, while the sum is 54.

The spelling of 116552355251634 in words is "one hundred sixteen trillion, five hundred fifty-two billion, three hundred fifty-five million, two hundred fifty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 313 558 626 939 1069 1878 2138 2817 3207 5634 6414 9621 9703 19242 19406 29109 33139 58218 66278 87327 99417 174654 198834 298251 334597 596502 624259 669194 1003791 1248518 1872777 2007582 3011373 3745554 5618331 6022746 10372507 11236662 19352029 20745014 31117521 38704058 58056087 62235042 93352563 116112174 174168261 186705126 195393067 348336522 390786134 586179201 667332871 1172358402 1334665742 1758537603 2001998613 3517075206 4003997226 6005995839 6057185077 12011991678 12114370154 18171555231 20687319001 36343110462 41374638002 54514665693 62061957003 109029331386 124123914006 186185871009 208875188623 372371742018 417750377246 626625565869 1253251131738 1879876697607 3759753395214 6475130847313 12950261694626 19425392541939 38850785083878 58276177625817 116552355251634