Search a number
-
+
74713240069632 = 29341801534531
BaseRepresentation
bin10000111111001110001000…
…001000100110011000000000
3100210112111221011100002120000
4100333032020020212120000
534243100203424212012
6422522442203320000
721510565511142603
oct2077161010463000
9323474834302500
1074713240069632
112189578628169a
128467b14b20000
13328c574cb77a8
1414641d668833a
158986e20cbddc
hex43f388226600

74713240069632 has 100 divisors (see below), whose sum is σ = 222999348974556. Its totient is φ = 24904413342720.

The previous prime is 74713240069631. The next prime is 74713240069649. The reversal of 74713240069632 is 23696004231747.

It is a happy number.

74713240069632 is a `hidden beast` number, since 7 + 47 + 132 + 400 + 6 + 9 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74713240069631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 900725794 + ... + 900808737.

Almost surely, 274713240069632 is an apocalyptic number.

74713240069632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74713240069632 is an abundant number, since it is smaller than the sum of its proper divisors (148286108904924).

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

74713240069632 is an equidigital number, since it uses as much as digits as its factorization.

74713240069632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801534561 (or 1801534536 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 74713240069632 in words is "seventy-four trillion, seven hundred thirteen billion, two hundred forty million, sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 1801534531 3603069062 5404603593 7206138124 10809207186 14412276248 16213810779 21618414372 28824552496 32427621558 43236828744 48641432337 57649104992 64855243116 86473657488 97282864674 115298209984 129710486232 145924297011 172947314976 194565729348 230596419968 259420972464 291848594022 345894629952 389131458696 461192839936 518841944928 583697188044 691789259904 778262917392 922385679872 1037683889856 1167394376088 1383578519808 1556525834784 2075367779712 2334788752176 2767157039616 3113051669568 4150735559424 4669577504352 6226103339136 8301471118848 9339155008704 12452206678272 18678310017408 24904413356544 37356620034816 74713240069632