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73002540438 = 23361157141161
BaseRepresentation
bin100001111111101001…
…0100101110110010110
320222102200011022001000
41003333102211312112
52144002122243223
653311545444130
75163033232602
oct1037722456626
9228380138030
1073002540438
1128a62038153
12121944a0646
136b6550b2b9
1437676c0502
151d74007543
hex10ff4a5d96

73002540438 has 64 divisors (see below), whose sum is σ = 165938754240. Its totient is φ = 23782636800.

The previous prime is 73002540437. The next prime is 73002540439. The reversal of 73002540438 is 83404520037.

It is a happy number.

73002540438 is a `hidden beast` number, since 73 + 0 + 0 + 2 + 540 + 43 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (73002540437) and next prime (73002540439).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73002540433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446578 + ... + 587738.

It is an arithmetic number, because the mean of its divisors is an integer number (2592793035).

Almost surely, 273002540438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73002540438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82969377120).

73002540438 is an abundant number, since it is smaller than the sum of its proper divisors (92936213802).

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

73002540438 is a wasteful number, since it uses less digits than its factorization.

73002540438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141390 (or 141384 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 73002540438 in words is "seventy-three billion, two million, five hundred forty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 61 122 157 183 314 366 471 549 942 1098 1413 1647 2826 3294 4239 8478 9577 19154 28731 57462 86193 141161 172386 258579 282322 423483 517158 846966 1270449 2540898 3811347 7622694 8610821 17221642 22162277 25832463 44324554 51664926 66486831 77497389 132973662 154994778 199460493 232492167 398920986 464984334 598381479 1196762958 1351898897 2703797794 4055696691 8111393382 12167090073 24334180146 36501270219 73002540438