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401073781164 = 2237181247310667
BaseRepresentation
bin1011101011000011101…
…11000011100110101100
31102100020112002002211120
411311201313003212230
523032344341444124
6504130055020540
740655660614230
oct5654167034654
91370215062746
10401073781164
1114510476a051
126589296a750
132ba89c3c104
14155aaa385c0
15a675d00d79
hex5d61dc39ac

401073781164 has 96 divisors (see below), whose sum is σ = 1075974821376. Its totient is φ = 113902640640.

The previous prime is 401073781139. The next prime is 401073781181. The reversal of 401073781164 is 461187370104.

It is a super-2 number, since 2×4010737811642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 37594159 + ... + 37604825.

It is an arithmetic number, because the mean of its divisors is an integer number (11208071056).

Almost surely, 2401073781164 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 401073781164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537987410688).

401073781164 is an abundant number, since it is smaller than the sum of its proper divisors (674901040212).

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

401073781164 is a wasteful number, since it uses less digits than its factorization.

401073781164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 401073781164 in words is "four hundred one billion, seventy-three million, seven hundred eighty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 1086 1267 2172 2473 2534 3801 4946 5068 7419 7602 9892 10667 14838 15204 17311 21334 29676 32001 34622 42668 51933 64002 69244 74669 103866 128004 149338 207732 224007 298676 447613 448014 895226 896028 1342839 1790452 1930727 2685678 3133291 3861454 5371356 5792181 6266582 7722908 9399873 11584362 12533164 13515089 18799746 23168724 26379491 27030178 37599492 40545267 52758982 54060356 79138473 81090534 105517964 158276946 162181068 184656437 316553892 369312874 553969311 738625748 1107938622 2215877244 4774687871 9549375742 14324063613 19098751484 28648127226 33422815097 57296254452 66845630194 100268445291 133691260388 200536890582 401073781164