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9968167804 = 22721741131557
BaseRepresentation
bin10010100100010011…
…00010101101111100
3221201200212101120011
421102021202231330
5130403322332204
64325044233004
7502010012500
oct112211425574
927650771504
109968167804
114255853011
121b2239b764
13c2b22355a
146a7c38300
153d51c1304
hex252262b7c

9968167804 has 144 divisors (see below), whose sum is σ = 22217890464. Its totient is φ = 3885772800.

The previous prime is 9968167801. The next prime is 9968167843. The reversal of 9968167804 is 4087618699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968167801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17895894 + ... + 17896450.

It is an arithmetic number, because the mean of its divisors is an integer number (154290906).

Almost surely, 29968167804 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 9968167804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108945232).

9968167804 is an abundant number, since it is smaller than the sum of its proper divisors (12249722660).

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

9968167804 is a wasteful number, since it uses less digits than its factorization.

9968167804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The square root of 9968167804 is about 99840.7121569152. The cubic root of 9968167804 is about 2152.1462471954.

The spelling of 9968167804 in words is "nine billion, nine hundred sixty-eight million, one hundred sixty-seven thousand, eight hundred four".

Divisors: 1 2 4 7 14 17 28 34 41 49 68 82 98 119 131 164 196 238 262 287 476 524 557 574 697 833 917 1114 1148 1394 1666 1834 2009 2227 2228 2788 3332 3668 3899 4018 4454 4879 5371 6419 7798 8036 8908 9469 9758 10742 12838 15589 15596 18938 19516 21484 22837 25676 27293 31178 34153 37597 37876 45674 54586 62356 66283 68306 72967 75194 91307 91348 109123 109172 132566 136612 145934 150388 159859 182614 218246 263179 265132 291868 319718 365228 388229 436492 463981 510769 526358 639149 639436 776458 927962 1021538 1052716 1119013 1240439 1278298 1552916 1855924 2043076 2238026 2480878 2556596 2717603 2991647 3575383 4474043 4476052 4961756 5435206 5983294 7150766 8683073 8948086 10870412 11966588 14301532 17366146 17896172 19023221 20941529 34732292 38046442 41883058 50857999 60781511 76092884 83766116 101715998 121563022 146590703 203431996 243126044 293181406 356005993 586362812 712011986 1424023972 2492041951 4984083902 9968167804