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73052037296 = 2472181587877
BaseRepresentation
bin100010000001000111…
…1011010000010110000
320222120010021222221222
41010002033122002300
52144102310143141
653320514404212
75164204033400
oct1040217320260
9228503258858
1073052037296
1128a87a74947
12121a8b90668
136b7284b694
1437700c6800
151d7853314b
hex11023da0b0

73052037296 has 120 divisors (see below), whose sum is σ = 166027404816. Its totient is φ = 31046561280.

The previous prime is 73052037251. The next prime is 73052037313. The reversal of 73052037296 is 69273025037.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83297210 + ... + 83298086.

Almost surely, 273052037296 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 73052037296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83013702408).

73052037296 is an abundant number, since it is smaller than the sum of its proper divisors (92975367520).

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

73052037296 is a wasteful number, since it uses less digits than its factorization.

73052037296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 44.

The spelling of 73052037296 in words is "seventy-three billion, fifty-two million, thirty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 181 196 362 392 587 724 784 877 1174 1267 1448 1754 2348 2534 2896 3508 4109 4696 5068 6139 7016 8218 8869 9392 10136 12278 14032 16436 17738 20272 24556 28763 32872 35476 42973 49112 57526 65744 70952 85946 98224 106247 115052 141904 158737 171892 212494 230104 317474 343784 424988 460208 514799 634948 687568 743729 849976 1029598 1111159 1269896 1487458 1699952 2059196 2222318 2539792 2974916 3603593 4118392 4444636 5206103 5949832 7207186 7778113 8236784 8889272 10412206 11899664 14414372 15556226 17778544 20824412 25225151 28828744 31112452 41648824 50450302 57657488 62224904 83297648 93178619 100900604 124449808 186357238 201801208 372714476 403602416 652250333 745428952 1304500666 1490857904 2609001332 4565752331 5218002664 9131504662 10436005328 18263009324 36526018648 73052037296