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74251741740 = 223511130786077
BaseRepresentation
bin100010100100110111…
…1111010101000101100
321002122201202022001220
41011021233322220230
52204031421213430
654035532303340
75236012251111
oct1051157725054
9232581668056
1074251741740
1129543199620
1212482911b50
13700426b477
14384557a908
151de8a11110
hex1149bfaa2c

74251741740 has 96 divisors (see below), whose sum is σ = 226981488384. Its totient is φ = 17986440960.

The previous prime is 74251741703. The next prime is 74251741801. The reversal of 74251741740 is 4714715247.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 74251741692 and 74251741701.

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 31 ways as a sum of consecutive naturals, for example, 819582 + ... + 905658.

It is an arithmetic number, because the mean of its divisors is an integer number (2364390504).

Almost surely, 274251741740 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 74251741740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113490744192).

74251741740 is an abundant number, since it is smaller than the sum of its proper divisors (152729746644).

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

74251741740 is a wasteful number, since it uses less digits than its factorization.

74251741740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87407 (or 87405 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 74251741740 in words is "seventy-four billion, two hundred fifty-one million, seven hundred forty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1307 2614 3921 5228 6535 7842 13070 14377 15684 19605 26140 28754 39210 43131 57508 71885 78420 86077 86262 143770 172154 172524 215655 258231 287540 344308 430385 431310 516462 860770 862620 946847 1032924 1291155 1721540 1893694 2582310 2840541 3787388 4734235 5164620 5681082 9468470 11362164 14202705 18936940 28405410 56810820 112502639 225005278 337507917 450010556 562513195 675015834 1125026390 1237529029 1350031668 1687539585 2250052780 2475058058 3375079170 3712587087 4950116116 6187645145 6750158340 7425174174 12375290290 14850348348 18562935435 24750580580 37125870870 74251741740