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85863031782738 = 23731476449217573
BaseRepresentation
bin10011100001011110001011…
…100000100011110101010010
3102021000102111022112012211120
4103201132023200203311102
542223234442114021423
6502340533211223110
724041253654030120
oct2341361340436522
9367012438465746
1085863031782738
11253a4341aa6721
1297689b7747a96
1338bab06791ac2
14172bb15a72910
159dd763e20ee3
hex4e178b823d52

85863031782738 has 128 divisors (see below), whose sum is σ = 206932716748800. Its totient is φ = 23232094479360.

The previous prime is 85863031782709. The next prime is 85863031782817. The reversal of 85863031782738 is 83728713036858.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394531320 + ... + 394748892.

It is an arithmetic number, because the mean of its divisors is an integer number (1616661849600).

Almost surely, 285863031782738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85863031782738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103466358374400).

85863031782738 is an abundant number, since it is smaller than the sum of its proper divisors (121069684966062).

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

85863031782738 is a wasteful number, since it uses less digits than its factorization.

85863031782738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224112.

The product of its (nonzero) digits is 325140480, while the sum is 69.

The spelling of 85863031782738 in words is "eighty-five trillion, eight hundred sixty-three billion, thirty-one million, seven hundred eighty-two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 47 62 93 94 141 186 217 282 329 434 651 658 987 1302 1457 1974 2914 4371 6449 8742 10199 12898 19347 20398 30597 38694 45143 61194 90286 135429 199919 217573 270858 303103 399838 435146 599757 606206 652719 909309 1199514 1305438 1399433 1523011 1818618 2121721 2798866 3046022 4198299 4243442 4569033 6365163 6744763 8396598 9138066 9396193 10225931 12730326 13489526 18792386 20234289 20451862 28188579 30677793 40468578 47213341 56377158 61355586 65773351 71581517 94426682 131546702 141640023 143163034 197320053 214744551 283280046 317003861 394640106 429489102 634007722 951011583 1403128277 1902023166 2219027027 2806256554 4209384831 4438054054 6657081081 8418769662 9821897939 13314162162 19643795878 29465693817 43496976587 58931387634 65947029019 86993953174 130490929761 131894058038 197841087057 260981859522 304478836109 395682174114 461629203133 608957672218 913436508327 923258406266 1384887609399 1826873016654 2044357899589 2769775218798 4088715799178 6133073698767 12266147397534 14310505297123 28621010594246 42931515891369 85863031782738