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74007940680 = 2334561737021
BaseRepresentation
bin100010011101100110…
…1111000111001001000
321002000201222220220000
41010323031320321020
52203032013100210
653555423003000
75226662054622
oct1047315707110
9232021886800
1074007940680
112942860a243
1212415139460
136c958b949b
143821035c12
151dd2403ac0
hex113b378e48

74007940680 has 160 divisors (see below), whose sum is σ = 249158800440. Its totient is φ = 19702932480.

The previous prime is 74007940621. The next prime is 74007940691. The reversal of 74007940680 is 8604970047.

It can be written as a sum of positive squares in 4 ways, for example, as 20782682244 + 53225258436 = 144162^2 + 230706^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1980570 + ... + 2017590.

Almost surely, 274007940680 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 74007940680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124579400220).

74007940680 is an abundant number, since it is smaller than the sum of its proper divisors (175150859760).

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

74007940680 is a wasteful number, since it uses less digits than its factorization.

74007940680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37661 (or 37648 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 74007940680 in words is "seventy-four billion, seven million, nine hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 617 648 810 1080 1234 1620 1851 2468 3085 3240 3702 4936 5553 6170 7404 9255 11106 12340 14808 16659 18510 22212 24680 27765 33318 37020 37021 44424 49977 55530 66636 74040 74042 83295 99954 111060 111063 133272 148084 166590 185105 199908 222120 222126 249885 296168 333180 333189 370210 399816 444252 499770 555315 666360 666378 740420 888504 999540 999567 1110630 1332756 1480840 1665945 1999080 1999134 2221260 2665512 2998701 3331890 3998268 4442520 4997835 5997402 6663780 7996536 9995670 11994804 13327560 14993505 19991340 22841957 23989608 29987010 39982680 45683914 59974020 68525871 91367828 114209785 119948040 137051742 182735656 205577613 228419570 274103484 342629355 411155226 456839140 548206968 616732839 685258710 822310452 913678280 1027888065 1233465678 1370517420 1644620904 1850198517 2055776130 2466931356 2741034840 3083664195 3700397034 4111552260 4933862712 6167328390 7400794068 8223104520 9250992585 12334656780 14801588136 18501985170 24669313560 37003970340 74007940680