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10161743426112 = 263295233489533
BaseRepresentation
bin1001001111011111011100…
…0110110111001001000000
31022222110020101000121211210
42103313313012313021000
52312442222304113422
633340123540010120
72066106321650415
oct223676706671100
938873211017753
1010161743426112
113268631280003
1211814b7390940
1358932c667815
14271b8c3d010c
151294e49b110c
hex93df71b7240

10161743426112 has 112 divisors (see below), whose sum is σ = 27866581035840. Its totient is φ = 3264191981568.

The previous prime is 10161743426099. The next prime is 10161743426143. The reversal of 10161743426112 is 21162434716101.

It is a super-2 number, since 2×101617434261122 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1167298 + ... + 4656830.

Almost surely, 210161743426112 is an apocalyptic number.

10161743426112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10161743426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933290517920).

10161743426112 is an abundant number, since it is smaller than the sum of its proper divisors (17704837609728).

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

10161743426112 is a wasteful number, since it uses less digits than its factorization.

10161743426112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490100 (or 3490090 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10161743426112 in words is "ten trillion, one hundred sixty-one billion, seven hundred forty-three million, four hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 523 696 928 1046 1392 1569 1856 2092 2784 3138 4184 5568 6276 8368 12552 15167 16736 25104 30334 33472 45501 50208 60668 91002 100416 121336 182004 242672 364008 485344 728016 970688 1456032 2912064 3489533 6979066 10468599 13958132 20937198 27916264 41874396 55832528 83748792 101196457 111665056 167497584 202392914 223330112 303589371 334995168 404785828 607178742 669990336 809571656 1214357484 1619143312 1825025759 2428714968 3238286624 3650051518 4857429936 5475077277 6476573248 7300103036 9714859872 10950154554 14600206072 19429719744 21900309108 29200412144 43800618216 52925747011 58400824288 87601236432 105851494022 116801648576 158777241033 175202472864 211702988044 317554482066 350404945728 423405976088 635108964132 846811952176 1270217928264 1693623904352 2540435856528 3387247808704 5080871713056 10161743426112