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74434135360 = 2651322778823
BaseRepresentation
bin100010101010010011…
…1101100010101000000
321010010102221212002011
41011110213230111000
52204420114312420
654110005502304
75243355465664
oct1052447542500
9233112855064
1074434135360
1129627146652
1212513a11994
137032c9c9a0
1438618988a4
151e09a3d95a
hex11549ec540

74434135360 has 112 divisors (see below), whose sum is σ = 191723930496. Its totient is φ = 27361953792.

The previous prime is 74434135357. The next prime is 74434135381. The reversal of 74434135360 is 6353143447.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 904909 + ... + 983731.

It is an arithmetic number, because the mean of its divisors is an integer number (1711820808).

Almost surely, 274434135360 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 74434135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95861965248).

74434135360 is an abundant number, since it is smaller than the sum of its proper divisors (117289795136).

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

74434135360 is a wasteful number, since it uses less digits than its factorization.

74434135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79080 (or 79070 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 74434135360 in words is "seventy-four billion, four hundred thirty-four million, one hundred thirty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 227 260 320 416 454 520 832 908 1040 1135 1816 2080 2270 2951 3632 4160 4540 5902 7264 9080 11804 14528 14755 18160 23608 29510 36320 47216 59020 72640 78823 94432 118040 157646 188864 236080 315292 394115 472160 630584 788230 944320 1024699 1261168 1576460 2049398 2522336 3152920 4098796 5044672 5123495 6305840 8197592 10246990 12611680 16395184 17892821 20493980 25223360 32790368 35785642 40987960 65580736 71571284 81975920 89464105 143142568 163951840 178928210 232606673 286285136 327903680 357856420 465213346 572570272 715712840 930426692 1145140544 1163033365 1431425680 1860853384 2326066730 2862851360 3721706768 4652133460 5725702720 7443413536 9304266920 14886827072 18608533840 37217067680 74434135360