Search a number
-
+
74056481760 = 2535601125667
BaseRepresentation
bin100010011111000011…
…1000011101111100000
321002011010100001201210
41010332013003233200
52203131424404020
654004315230120
75231121465042
oct1047607035740
9232133301653
1074056481760
1129452a53938
1212429448340
136ca2983811
14382766da92
151dd67e13e0
hex113e1c3be0

74056481760 has 96 divisors (see below), whose sum is σ = 233325816192. Its totient is φ = 19744340480.

The previous prime is 74056481753. The next prime is 74056481801. The reversal of 74056481760 is 6718465047.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2872447 + ... + 2898113.

It is an arithmetic number, because the mean of its divisors is an integer number (2430477252).

Almost surely, 274056481760 is an apocalyptic number.

It is an amenable number.

74056481760 is an abundant number, since it is smaller than the sum of its proper divisors (159269334432).

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

74056481760 is a wasteful number, since it uses less digits than its factorization.

74056481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31696 (or 31688 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 74056481760 in words is "seventy-four billion, fifty-six million, four hundred eighty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6011 12022 18033 24044 25667 30055 36066 48088 51334 60110 72132 77001 90165 96176 102668 120220 128335 144264 154002 180330 192352 205336 240440 256670 288528 308004 360660 385005 410672 480880 513340 577056 616008 721320 770010 821344 961760 1026680 1232016 1442640 1540020 2053360 2464032 2885280 3080040 4106720 6160080 12320160 154284337 308568674 462853011 617137348 771421685 925706022 1234274696 1542843370 1851412044 2314265055 2468549392 3085686740 3702824088 4628530110 4937098784 6171373480 7405648176 9257060220 12342746960 14811296352 18514120440 24685493920 37028240880 74056481760