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74000667384 = 233271291113731
BaseRepresentation
bin100010011101011001…
…0001001001011111000
321002000020022101210200
41010322302021023320
52203023132324014
653555003042200
75226543202650
oct1047262111370
9232006271720
1074000667384
11294244a1756
1212412810360
136c94240a67
1438200a1360
151dd1968a09
hex113ac892f8

74000667384 has 96 divisors (see below), whose sum is σ = 229229120640. Its totient is φ = 21126484800.

The previous prime is 74000667353. The next prime is 74000667427. The reversal of 74000667384 is 48376600047.

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 23 ways as a sum of consecutive naturals, for example, 593799 + ... + 707529.

It is an arithmetic number, because the mean of its divisors is an integer number (2387803340).

Almost surely, 274000667384 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 74000667384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114614560320).

74000667384 is an abundant number, since it is smaller than the sum of its proper divisors (155228453256).

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

74000667384 is a wasteful number, since it uses less digits than its factorization.

74000667384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115041 (or 115034 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 74000667384 in words is "seventy-four billion, six hundred sixty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1291 2582 3873 5164 7746 9037 10328 11619 15492 18074 23238 27111 30984 36148 46476 54222 72296 81333 92952 108444 113731 162666 216888 227462 325332 341193 454924 650664 682386 796117 909848 1023579 1364772 1592234 2047158 2388351 2729544 3184468 4094316 4776702 6368936 7165053 8188632 9553404 14330106 19106808 28660212 57320424 146826721 293653442 440480163 587306884 880960326 1027787047 1174613768 1321440489 1761920652 2055574094 2642880978 3083361141 3523841304 4111148188 5285761956 6166722282 8222296376 9250083423 10571523912 12333444564 18500166846 24666889128 37000333692 74000667384