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61342147638352 = 24722913192045503
BaseRepresentation
bin11011111001010010101001…
…11010110111010001010000
322001012020210201221211200001
431330221110322313101100
531020012204243411402
6334244105452135344
715630552413555200
oct1574512472672120
9261166721854601
1061342147638352
1118600071178869
126a68629167554
13282c7029554b9
141120d937ba400
157159b3cd7187
hex37ca54eb7450

61342147638352 has 120 divisors (see below), whose sum is σ = 143130460492800. Its totient is φ = 25363701151488.

The previous prime is 61342147638349. The next prime is 61342147638361. The reversal of 61342147638352 is 25383674124316.

It is a junction number, because it is equal to n+sod(n) for n = 61342147638293 and 61342147638302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28966033 + ... + 31011535.

It is an arithmetic number, because the mean of its divisors is an integer number (1192753837440).

Almost surely, 261342147638352 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 61342147638352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71565230246400).

61342147638352 is an abundant number, since it is smaller than the sum of its proper divisors (81788312854448).

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

61342147638352 is a wasteful number, since it uses less digits than its factorization.

61342147638352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046873 (or 2046860 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 55.

The spelling of 61342147638352 in words is "sixty-one trillion, three hundred forty-two billion, one hundred forty-seven million, six hundred thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1319 1421 1624 2638 2842 3248 5276 5684 9233 10552 11368 18466 21104 22736 36932 38251 64631 73864 76502 129262 147728 153004 258524 267757 306008 517048 535514 612016 1034096 1071028 1874299 2045503 2142056 3748598 4091006 4284112 7497196 8182012 14318521 14994392 16364024 28637042 29988784 32728048 57274084 59319587 100229647 114548168 118639174 200459294 229096336 237278348 400918588 415237109 474556696 801837176 830474218 949113392 1603674352 1660948436 2698018457 2906659763 3321896872 5396036914 5813319526 6643793744 10792073828 11626639052 18886129199 21584147656 23253278104 37772258398 43168295312 46506556208 75544516796 78242535253 132202904393 151089033592 156485070506 264405808786 302178067184 312970141012 528811617572 547697746771 625940282024 1057623235144 1095395493542 1251880564048 2115246470288 2190790987084 3833884227397 4381581974168 7667768454794 8763163948336 15335536909588 30671073819176 61342147638352