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45310917456 = 2433771211039
BaseRepresentation
bin101010001100101111…
…011011101101010000
311022221210111002122000
4222030233123231100
51220244043324311
632452054114000
73162563305110
oct521457335520
9138853432560
1045310917456
1118241916a22
12894664b900
13437146227c
14229ba85040
1512a2da7056
hexa8cbdbb50

45310917456 has 160 divisors (see below), whose sum is σ = 150733209600. Its totient is φ = 12763578240.

The previous prime is 45310917437. The next prime is 45310917461. The reversal of 45310917456 is 65471901354.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109185 + ... + 320223.

It is an arithmetic number, because the mean of its divisors is an integer number (942082560).

Almost surely, 245310917456 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 45310917456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75366604800).

45310917456 is an abundant number, since it is smaller than the sum of its proper divisors (105422292144).

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

45310917456 is a wasteful number, since it uses less digits than its factorization.

45310917456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211134 (or 211122 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 45310917456 in words is "forty-five billion, three hundred ten million, nine hundred seventeen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 71 72 84 108 112 126 142 144 168 189 213 216 252 284 336 378 426 432 497 504 568 639 756 852 994 1008 1136 1278 1491 1512 1704 1917 1988 2556 2982 3024 3408 3834 3976 4473 5112 5964 7668 7952 8946 10224 11928 13419 15336 17892 23856 26838 30672 35784 53676 71568 107352 211039 214704 422078 633117 844156 1266234 1477273 1688312 1899351 2532468 2954546 3376624 3798702 4431819 5064936 5698053 5909092 7597404 8863638 10129872 11396106 11818184 13295457 14983769 15194808 17727276 22792212 23636368 26590914 29967538 30389616 35454552 39886371 44951307 45584424 53181828 59935076 70909104 79772742 89902614 91168848 104886383 106363656 119870152 134853921 159545484 179805228 209772766 212727312 239740304 269707842 314659149 319090968 359610456 404561763 419545532 539415684 629318298 638181936 719220912 809123526 839091064 943977447 1078831368 1258636596 1618247052 1678182128 1887954894 2157662736 2517273192 2831932341 3236494104 3775909788 5034546384 5663864682 6472988208 7551819576 11327729364 15103639152 22655458728 45310917456