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74204275920 = 24353111178929
BaseRepresentation
bin100010100011011101…
…0110110010011010000
321002112102102210012120
41011012322312103100
52203432243312140
654031115054240
75234564636565
oct1050672662320
9232472383176
1074204275920
1129519419875
121246aa41380
136cc748c698
14383d14286c
151de47871d0
hex1146eb64d0

74204275920 has 160 divisors (see below), whose sum is σ = 237692881920. Its totient is φ = 19130204160.

The previous prime is 74204275909. The next prime is 74204275931. The reversal of 74204275920 is 2957240247.

It is an interprime number because it is at equal distance from previous prime (74204275909) and next prime (74204275931).

It is a super-2 number, since 2×742042759202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8306016 + ... + 8314944.

It is an arithmetic number, because the mean of its divisors is an integer number (1485580512).

Almost surely, 274204275920 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 74204275920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118846440960).

74204275920 is an abundant number, since it is smaller than the sum of its proper divisors (163488606000).

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

74204275920 is a wasteful number, since it uses less digits than its factorization.

74204275920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10093 (or 10087 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 74204275920 in words is "seventy-four billion, two hundred four million, two hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1117 1240 1488 1860 2234 2480 3351 3720 4468 5585 6702 7440 8929 8936 11170 13404 16755 17858 17872 22340 26787 26808 33510 34627 35716 44645 44680 53574 53616 67020 69254 71432 89290 89360 103881 107148 133935 134040 138508 142864 173135 178580 207762 214296 267870 268080 276799 277016 346270 357160 415524 428592 519405 535740 553598 554032 692540 714320 830397 831048 1038810 1071480 1107196 1383995 1385080 1660794 1662096 2077620 2142960 2214392 2767990 2770160 3321588 4151985 4155240 4428784 5535980 6643176 8303970 8310480 9973693 11071960 13286352 16607940 19947386 22143920 29921079 33215880 39894772 49868465 59842158 66431760 79789544 99736930 119684316 149605395 159579088 199473860 239368632 299210790 309184483 398947720 478737264 598421580 618368966 797895440 927553449 1196843160 1236737932 1545922415 1855106898 2393686320 2473475864 3091844830 3710213796 4637767245 4946951728 6183689660 7420427592 9275534490 12367379320 14840855184 18551068980 24734758640 37102137960 74204275920