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117586075370432 = 26231275407116329
BaseRepresentation
bin11010101111000110100100…
…010000001100001111000000
3120102100010012202201100012112
4122233012210100030033000
5110403012240243323212
61054030144114314452
733524212364321324
oct3257064420141700
9512303182640175
10117586075370432
1134514a7a0a1809
1211230b76888a28
13507c41c7474b6
1421072a6d63984
15d8da3c588422
hex6af1a440c3c0

117586075370432 has 112 divisors (see below), whose sum is σ = 245444521820160. Its totient is φ = 55783210678272.

The previous prime is 117586075370347. The next prime is 117586075370441. The reversal of 117586075370432 is 234073570685711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010748044 + ... + 1010864372.

Almost surely, 2117586075370432 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 117586075370432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122722260910080).

117586075370432 is an abundant number, since it is smaller than the sum of its proper divisors (127858446449728).

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

117586075370432 is a wasteful number, since it uses less digits than its factorization.

117586075370432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121898 (or 121888 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 59.

The spelling of 117586075370432 in words is "one hundred seventeen trillion, five hundred eighty-six billion, seventy-five million, three hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 127 184 254 368 508 736 1016 1472 2032 2921 4064 5407 5842 8128 10814 11684 21628 23368 43256 46736 86512 93472 116329 124361 173024 186944 232658 248722 346048 465316 497444 686689 930632 994888 1373378 1861264 1989776 2675567 2746756 3722528 3979552 5351134 5493512 7445056 7959104 10702268 10987024 14773783 15793847 21404536 21974048 29547566 31587694 42809072 43948096 59095132 63175388 85618144 118190264 126350776 171236288 236380528 252701552 339797009 472761056 505403104 628990903 679594018 945522112 1010806208 1257981806 1359188036 2515963612 2718376072 5031927224 5436752144 10063854448 10873504288 14466790769 20127708896 21747008576 28933581538 40255417792 57867163076 79881844681 115734326152 159763689362 231468652304 319527378724 462937304608 639054757448 925874609216 1278109514896 1837282427663 2556219029792 3674564855326 5112438059584 7349129710652 14698259421304 29396518842608 58793037685216 117586075370432