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74359634064 = 24323223912253
BaseRepresentation
bin100010101000000101…
…1011111100010010000
321002221020202210111220
41011100023133202100
52204242031242224
654054345005040
75241462314022
oct1052013374220
9232836683456
1074359634064
1129599090731
12124b2a83780
137020716391
143855a24012
151e03224279
hex11502df890

74359634064 has 120 divisors (see below), whose sum is σ = 201667509120. Its totient is φ = 23607741696.

The previous prime is 74359634059. The next prime is 74359634081. The reversal of 74359634064 is 46043695347.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 74359633998 and 74359634016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6062562 + ... + 6074814.

It is an arithmetic number, because the mean of its divisors is an integer number (1680562576).

Almost surely, 274359634064 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 74359634064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100833754560).

74359634064 is an abundant number, since it is smaller than the sum of its proper divisors (127307875056).

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

74359634064 is a wasteful number, since it uses less digits than its factorization.

74359634064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12549 (or 12520 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 74359634064 in words is "seventy-four billion, three hundred fifty-nine million, six hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 239 276 368 478 529 552 717 956 1058 1104 1434 1587 1912 2116 2868 3174 3824 4232 5497 5736 6348 8464 10994 11472 12253 12696 16491 21988 24506 25392 32982 36759 43976 49012 65964 73518 87952 98024 126431 131928 147036 196048 252862 263856 281819 294072 379293 505724 563638 588144 758586 845457 1011448 1127276 1517172 1690914 2022896 2254552 2928467 3034344 3381828 4509104 5856934 6068688 6481837 6763656 8785401 11713868 12963674 13527312 17570802 19445511 23427736 25927348 35141604 38891022 46855472 51854696 67354741 70283208 77782044 103709392 134709482 140566416 155564088 202064223 269418964 311128176 404128446 538837928 808256892 1077675856 1549159043 1616513784 3098318086 3233027568 4647477129 6196636172 9294954258 12393272344 18589908516 24786544688 37179817032 74359634064