Search a number
-
+
59493754040 = 23572949914683
BaseRepresentation
bin110111011010000110…
…101010010010111000
312200120012222211211212
4313122012222102320
51433320400112130
643155301342252
74204211364650
oct673206522270
9180505884755
1059493754040
112325a744a76
12b644407988
1357c18c9176
142c45553360
1518330a3e95
hexdda1aa4b8

59493754040 has 128 divisors (see below), whose sum is σ = 158587200000. Its totient is φ = 19653677568.

The previous prime is 59493753973. The next prime is 59493754121. The reversal of 59493754040 is 4045739495.

59493754040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 59493754040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4044539 + ... + 4059221.

It is an arithmetic number, because the mean of its divisors is an integer number (1238962500).

Almost surely, 259493754040 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 59493754040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79293600000).

59493754040 is an abundant number, since it is smaller than the sum of its proper divisors (99093445960).

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

59493754040 is a wasteful number, since it uses less digits than its factorization.

59493754040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15229 (or 15225 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 59493754040 in words is "fifty-nine billion, four hundred ninety-three million, seven hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 499 580 812 998 1015 1160 1624 1996 2030 2495 3493 3992 4060 4990 6986 8120 9980 13972 14471 14683 17465 19960 27944 28942 29366 34930 57884 58732 69860 72355 73415 101297 102781 115768 117464 139720 144710 146830 202594 205562 289420 293660 405188 411124 425807 506485 513905 578840 587320 810376 822248 851614 1012970 1027810 1703228 2025940 2055620 2129035 2980649 3406456 4051880 4111240 4258070 5961298 7326817 8516140 11922596 14653634 14903245 17032280 23845192 29307268 29806490 36634085 51287719 58614536 59612980 73268170 102575438 119225960 146536340 205150876 212477693 256438595 293072680 410301752 424955386 512877190 849910772 1025754380 1062388465 1487343851 1699821544 2051508760 2124776930 2974687702 4249553860 5949375404 7436719255 8499107720 11898750808 14873438510 29746877020 59493754040