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74000710368 = 253213107184721
BaseRepresentation
bin100010011101011001…
…0010011101011100000
321002000020101120202200
41010322302103223200
52203023140212433
653555004013200
75226543442164
oct1047262235340
9232006346680
1074000710368
1129424520a82
1212412831200
136c942574b0
1438200b2ca4
151dd1976613
hex113ac93ae0

74000710368 has 144 divisors (see below), whose sum is σ = 228746424816. Its totient is φ = 22556528640.

The previous prime is 74000710361. The next prime is 74000710373. The reversal of 74000710368 is 86301700047.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×740007103682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74000710361) by changing a digit.

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, 308248 + ... + 492968.

It is an arithmetic number, because the mean of its divisors is an integer number (1588516839).

Almost surely, 274000710368 is an apocalyptic number.

74000710368 is a gapful number since it is divisible by the number (78) 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 74000710368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114373212408).

74000710368 is an abundant number, since it is smaller than the sum of its proper divisors (154745714448).

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

74000710368 is a wasteful number, since it uses less digits than its factorization.

74000710368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184857 (or 184846 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 74000710368 in words is "seventy-four billion, seven hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 107 117 144 156 208 214 234 288 312 321 416 428 468 624 642 856 936 963 1248 1284 1391 1712 1872 1926 2568 2782 3424 3744 3852 4173 5136 5564 7704 8346 10272 11128 12519 15408 16692 22256 25038 30816 33384 44512 50076 66768 100152 133536 184721 200304 369442 400608 554163 738884 1108326 1477768 1662489 2216652 2401373 2955536 3324978 4433304 4802746 5911072 6649956 7204119 8866608 9605492 13299912 14408238 17733216 19210984 19765147 21612357 26599824 28816476 38421968 39530294 43224714 53199648 57632952 59295441 76843936 79060588 86449428 115265904 118590882 158121176 172898856 177886323 230531808 237181764 256946911 316242352 345797712 355772646 474363528 513893822 632484704 691595424 711545292 770840733 948727056 1027787644 1423090584 1541681466 1897454112 2055575288 2312522199 2846181168 3083362932 4111150576 4625044398 5692362336 6166725864 8222301152 9250088796 12333451728 18500177592 24666903456 37000355184 74000710368