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38733101064 = 23327225134141
BaseRepresentation
bin100100000100101011…
…000011100000001000
310200222101011101212200
4210010223003200020
51113311133213224
625443240440200
72540561632620
oct440453034010
9120871141780
1038733101064
111547690a129
12760b779060
133863766c18
141c36225880
15101a6845c9
hex904ac3808

38733101064 has 96 divisors (see below), whose sum is σ = 119944943040. Its totient is φ = 11061360000.

The previous prime is 38733101041. The next prime is 38733101083. The reversal of 38733101064 is 46010133783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117434 + ... + 1151574.

It is an arithmetic number, because the mean of its divisors is an integer number (1249426490).

Almost surely, 238733101064 is an apocalyptic number.

It is an amenable number.

38733101064 is an abundant number, since it is smaller than the sum of its proper divisors (81211841976).

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

38733101064 is a wasteful number, since it uses less digits than its factorization.

38733101064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36411 (or 36404 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 38733101064 in words is "thirty-eight billion, seven hundred thirty-three million, one hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2251 4502 6753 9004 13506 15757 18008 20259 27012 31514 34141 40518 47271 54024 63028 68282 81036 94542 102423 126056 136564 141813 162072 189084 204846 238987 273128 283626 307269 378168 409692 477974 567252 614538 716961 819384 955948 1134504 1229076 1433922 1911896 2150883 2458152 2867844 4301766 5735688 8603532 17207064 76851391 153702782 230554173 307405564 461108346 537959737 614811128 691662519 922216692 1075919474 1383325038 1613879211 1844433384 2151838948 2766650076 3227758422 4303677896 4841637633 5533300152 6455516844 9683275266 12911033688 19366550532 38733101064