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73340000064 = 2632463275003
BaseRepresentation
bin100010001001101100…
…1111001011101000000
321000022012011000121200
41010103121321131000
52200200020000224
653405242421200
75204301500112
oct1042331713500
9230265130550
1073340000064
1129115577601
1212269501800
136bba3c3556
14379a4453b2
151d939655c9
hex1113679740

73340000064 has 84 divisors (see below), whose sum is σ = 210670664256. Its totient is φ = 24393777408.

The previous prime is 73340000021. The next prime is 73340000087. The reversal of 73340000064 is 46000004337.

It is a junction number, because it is equal to n+sod(n) for n = 73339999992 and 73340000037.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129187 + ... + 404189.

Almost surely, 273340000064 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 73340000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105335332128).

73340000064 is an abundant number, since it is smaller than the sum of its proper divisors (137330664192).

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

73340000064 is a wasteful number, since it uses less digits than its factorization.

73340000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275484 (or 275471 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 73340000064 in words is "seventy-three billion, three hundred forty million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 463 576 926 1389 1852 2778 3704 4167 5556 7408 8334 11112 14816 16668 22224 29632 33336 44448 66672 88896 133344 266688 275003 550006 825009 1100012 1650018 2200024 2475027 3300036 4400048 4950054 6600072 8800096 9900108 13200144 17600192 19800216 26400288 39600432 52800576 79200864 127326389 158401728 254652778 381979167 509305556 763958334 1018611112 1145937501 1527916668 2037222224 2291875002 3055833336 4074444448 4583750004 6111666672 8148888896 9167500008 12223333344 18335000016 24446666688 36670000032 73340000064