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73040745000 = 2335427717579
BaseRepresentation
bin100010000000110010…
…0010101001000101000
320222112100001021211210
41010001210111020220
52144041412320000
653315432353120
75164006042266
oct1040144251050
9228470037753
1073040745000
1128a81661873
12121a52457a0
136b703c6852
14376c7c7436
151d77552350
hex1101915228

73040745000 has 160 divisors (see below), whose sum is σ = 229016066400. Its totient is φ = 19406112000.

The previous prime is 73040744989. The next prime is 73040745017. The reversal of 73040745000 is 54704037.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4146211 + ... + 4163789.

It is an arithmetic number, because the mean of its divisors is an integer number (1431350415).

Almost surely, 273040745000 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 73040745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114508033200).

73040745000 is an abundant number, since it is smaller than the sum of its proper divisors (155975321400).

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

73040745000 is a wasteful number, since it uses less digits than its factorization.

73040745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17885 (or 17866 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The spelling of 73040745000 in words is "seventy-three billion, forty million, seven hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 277 300 375 500 554 600 625 750 831 1000 1108 1250 1385 1500 1662 1875 2216 2500 2770 3000 3324 3750 4155 5000 5540 6648 6925 7500 8310 11080 13850 15000 16620 17579 20775 27700 33240 34625 35158 41550 52737 55400 69250 70316 83100 87895 103875 105474 138500 140632 166200 173125 175790 207750 210948 263685 277000 346250 351580 415500 421896 439475 519375 527370 692500 703160 831000 878950 1038750 1054740 1318425 1385000 1757900 2077500 2109480 2197375 2636850 3515800 4155000 4394750 4869383 5273700 6592125 8789500 9738766 10547400 10986875 13184250 14608149 17579000 19477532 21973750 24346915 26368500 29216298 32960625 38955064 43947500 48693830 52737000 58432596 65921250 73040745 87895000 97387660 116865192 121734575 131842500 146081490 194775320 243469150 263685000 292162980 365203725 486938300 584325960 608672875 730407450 973876600 1217345750 1460814900 1826018625 2434691500 2921629800 3043364375 3652037250 4869383000 6086728750 7304074500 9130093125 12173457500 14608149000 18260186250 24346915000 36520372500 73040745000