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73534004740 = 22572394315099
BaseRepresentation
bin100010001111011110…
…1111101111000000100
321000210201012111000001
41010132331331320010
52201044201122430
653440412531044
75212145504320
oct1043675757004
9230721174001
1073534004740
1129205035149
1212302480a84
136c1b65ba11
1437b8106980
151da59d83ca
hex111ef7de04

73534004740 has 96 divisors (see below), whose sum is σ = 177666048000. Its totient is φ = 25043007360.

The previous prime is 73534004737. The next prime is 73534004759. The reversal of 73534004740 is 4740043537.

It is a self number, because there is not a number n which added to its sum of digits gives 73534004740.

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, 14418711 + ... + 14423809.

It is an arithmetic number, because the mean of its divisors is an integer number (1850688000).

Almost surely, 273534004740 is an apocalyptic number.

73534004740 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73534004740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88833024000).

73534004740 is an abundant number, since it is smaller than the sum of its proper divisors (104132043260).

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

73534004740 is a wasteful number, since it uses less digits than its factorization.

73534004740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 37.

The spelling of 73534004740 in words is "seventy-three billion, five hundred thirty-four million, four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 239 431 478 862 956 1195 1673 1724 2155 2390 3017 3346 4310 4780 5099 6034 6692 8365 8620 10198 12068 15085 16730 20396 25495 30170 33460 35693 50990 60340 71386 101980 103009 142772 178465 206018 356930 412036 515045 713860 721063 1030090 1218661 1442126 2060180 2197669 2437322 2884252 3605315 4395338 4874644 6093305 7210630 8530627 8790676 10988345 12186610 14421260 15383683 17061254 21976690 24373220 30767366 34122508 42653135 43953380 61534732 76918415 85306270 153836830 170612540 307673660 525242891 1050485782 2100971564 2626214455 3676700237 5252428910 7353400474 10504857820 14706800948 18383501185 36767002370 73534004740