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73014561408 = 273434421909
BaseRepresentation
bin100010000000000000…
…0011100101010000000
320222110111210000201010
41010000000130222000
52144013211431113
653313055240520
75163240350265
oct1040000345200
9228414700633
1073014561408
1128a688a8738
1212198519140
136b67b599b9
14376912d26c
151d750ce1c3
hex110001ca80

73014561408 has 64 divisors (see below), whose sum is σ = 198455320800. Its totient is φ = 23772177408.

The previous prime is 73014561379. The next prime is 73014561409. The reversal of 73014561408 is 80416541037.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×730145614082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73014561409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2194443 + ... + 2227466.

Almost surely, 273014561408 is an apocalyptic number.

It is an amenable number.

73014561408 is an abundant number, since it is smaller than the sum of its proper divisors (125440759392).

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

73014561408 is a wasteful number, since it uses less digits than its factorization.

73014561408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4421969 (or 4421957 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 73014561408 in words is "seventy-three billion, fourteen million, five hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5504 8256 16512 4421909 8843818 13265727 17687636 26531454 35375272 53062908 70750544 106125816 141501088 190142087 212251632 283002176 380284174 424503264 566004352 570426261 760568348 849006528 1140852522 1521136696 1698013056 2281705044 3042273392 4563410088 6084546784 9126820176 12169093568 18253640352 24338187136 36507280704 73014561408