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74588796072 = 23327239295381
BaseRepresentation
bin100010101110111010…
…1101011010010101000
321010112012222102200200
41011131311223102220
52210224212433242
654133212432200
75250244206600
oct1053565532250
9233465872620
1074588796072
11296a648151a
1212557778660
1370590410bb
143878237c00
151e183de04c
hex115dd6b4a8

74588796072 has 144 divisors (see below), whose sum is σ = 235096254900. Its totient is φ = 21301701120.

The previous prime is 74588796047. The next prime is 74588796083. The reversal of 74588796072 is 27069788547.

It can be written as a sum of positive squares in 2 ways, for example, as 68531909796 + 6056886276 = 261786^2 + 77826^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13858822 + ... + 13864202.

Almost surely, 274588796072 is an apocalyptic number.

74588796072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74588796072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117548127450).

74588796072 is an abundant number, since it is smaller than the sum of its proper divisors (160507458828).

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

74588796072 is a wasteful number, since it uses less digits than its factorization.

74588796072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 74588796072 in words is "seventy-four billion, five hundred eighty-eight million, seven hundred ninety-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 3929 5381 7858 10762 11787 15716 16143 21524 23574 27503 31432 32286 35361 37667 43048 47148 48429 55006 64572 70722 75334 82509 94296 96858 110012 113001 129144 141444 150668 165018 192521 193716 220024 226002 247527 263669 282888 301336 330036 339003 385042 387432 452004 495054 527338 577563 660072 678006 770084 791007 904008 990108 1054676 1155126 1356012 1540168 1582014 1732689 1980216 2109352 2310252 2373021 2712024 3164028 3465378 4620504 4746042 6328056 6930756 9492084 13861512 18984168 21141949 42283898 63425847 84567796 126851694 147993643 169135592 190277541 253703388 295987286 380555082 443980929 507406776 591974572 761110164 887961858 1035955501 1183949144 1331942787 1522220328 1775923716 2071911002 2663885574 3107866503 3551847432 4143822004 5327771148 6215733006 8287644008 9323599509 10655542296 12431466012 18647199018 24862932024 37294398036 74588796072