Search a number
-
+
74072650140 = 223256165310331
BaseRepresentation
bin100010011111100010…
…0101111000110011100
321002012020202111120200
41010333010233012130
52203200044301030
654010053543500
75231406065136
oct1047704570634
9232166674520
1074072650140
1129461097435
1212432944b90
136ca6124bc8
14382987c056
151dd7e36d60
hex113f12f19c

74072650140 has 144 divisors (see below), whose sum is σ = 228742297056. Its totient is φ = 19397260800.

The previous prime is 74072650139. The next prime is 74072650147. The reversal of 74072650140 is 4105627047.

74072650140 is a `hidden beast` number, since 7 + 40 + 72 + 6 + 501 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74072650095 and 74072650104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74072650147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7164775 + ... + 7175105.

It is an arithmetic number, because the mean of its divisors is an integer number (1588488174).

Almost surely, 274072650140 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 74072650140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114371148528).

74072650140 is an abundant number, since it is smaller than the sum of its proper divisors (154669646916).

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

74072650140 is a wasteful number, since it uses less digits than its factorization.

74072650140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11060 (or 11055 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 74072650140 in words is "seventy-four billion, seventy-two million, six hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 653 732 915 1098 1220 1306 1830 1959 2196 2612 2745 3265 3660 3918 5490 5877 6530 7836 9795 10331 10980 11754 13060 19590 20662 23508 29385 30993 39180 39833 41324 51655 58770 61986 79666 92979 103310 117540 119499 123972 154965 159332 185958 199165 206620 238998 309930 358497 371916 398330 464895 477996 597495 619860 630191 716994 796660 929790 1194990 1260382 1433988 1792485 1859580 1890573 2389980 2520764 3150955 3584970 3781146 5671719 6301910 6746143 7169940 7562292 9452865 11343438 12603820 13492286 18905730 20238429 22686876 26984572 28358595 33730715 37811460 40476858 56717190 60715287 67461430 80953716 101192145 113434380 121430574 134922860 202384290 242861148 303576435 404768580 411514723 607152870 823029446 1214305740 1234544169 1646058892 2057573615 2469088338 3703632507 4115147230 4938176676 6172720845 7407265014 8230294460 12345441690 14814530028 18518162535 24690883380 37036325070 74072650140