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42380781051152 = 24173137260952067
BaseRepresentation
bin10011010001011100010110…
…11001100101110100010000
312120001120012111111110210002
421220232023121211310100
521023331314422114102
6230045243444425132
711632624156062005
oct1150561331456420
9176046174443702
1042380781051152
111255a652047555
1249058199a81a8
131a8564b83c58b
14a6735287b8ac
154d764c209902
hex268b8b665d10

42380781051152 has 160 divisors (see below), whose sum is σ = 92210245309440. Its totient is φ = 18771350814720.

The previous prime is 42380781051149. The next prime is 42380781051173. The reversal of 42380781051152 is 25115018708324.

It is a happy number.

It is a super-2 number, since 2×423807810511522 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42380781051097 and 42380781051106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813940223 + ... + 813992289.

It is an arithmetic number, because the mean of its divisors is an integer number (576314033184).

Almost surely, 242380781051152 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 42380781051152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46105122654720).

42380781051152 is an abundant number, since it is smaller than the sum of its proper divisors (49829464258288).

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

42380781051152 is a wasteful number, since it uses less digits than its factorization.

42380781051152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54769 (or 54763 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

Adding to 42380781051152 its reverse (25115018708324), we get a palindrome (67495799759476).

The spelling of 42380781051152 in words is "forty-two trillion, three hundred eighty billion, seven hundred eighty-one million, fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 34 37 62 68 74 124 136 148 248 272 296 496 527 592 629 1054 1147 1258 2108 2294 2516 2609 4216 4588 5032 5218 8432 9176 10064 10436 18352 19499 20872 38998 41744 44353 52067 77996 80879 88706 96533 104134 155992 161758 177412 193066 208268 311984 323516 354824 386132 416536 647032 709648 772264 833072 885139 1294064 1374943 1544528 1614077 1641061 1770278 1926479 2749886 2992523 3228154 3282122 3540556 3852958 5499772 5985046 6456308 6564244 7081112 7705916 10999544 11970092 12912616 13128488 14162224 15411832 21999088 23940184 25825232 26256976 27439309 30823664 32750143 47880368 50872891 54878618 59720849 65500286 101745782 109757236 119441698 131000572 135842803 203491564 219514472 238883396 262001144 271685606 406983128 439028944 477766792 524002288 543371212 813966256 955533584 1015254433 1086742424 2030508866 2173484848 2309327651 4061017732 4211126893 4618655302 5026183711 8122035464 8422253786 9237310604 10052367422 16244070928 16844507572 18474621208 20104734844 33689015144 36949242416 40209469688 67378030288 71589157181 80418939376 85445123087 143178314362 155811695041 170890246174 286356628724 311623390082 341780492348 572713257448 623246780164 683560984696 1145426514896 1246493560328 1367121969392 2492987120656 2648798815697 5297597631394 10595195262788 21190390525576 42380781051152