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45816507462 = 23112718310709
BaseRepresentation
bin101010101010111000…
…000110110001000110
311101021000211201201210
4222222320012301012
51222313011214322
633014154432250
73211242613335
oct525270066106
9141230751653
1045816507462
1118481251200
128a67a32686
13442212385b
142308c93d1c
1512d247670c
hexaaae06c46

45816507462 has 96 divisors (see below), whose sum is σ = 103379431680. Its totient is φ = 13522062400.

The previous prime is 45816507437. The next prime is 45816507463. The reversal of 45816507462 is 26470561854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45816507463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4272964 + ... + 4283672.

It is an arithmetic number, because the mean of its divisors is an integer number (1076869080).

Almost surely, 245816507462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45816507462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51689715840).

45816507462 is an abundant number, since it is smaller than the sum of its proper divisors (57562924218).

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

45816507462 is a wasteful number, since it uses less digits than its factorization.

45816507462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10890 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 45816507462 in words is "forty-five billion, eight hundred sixteen million, five hundred seven thousand, four hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 71 83 121 142 166 213 242 249 363 426 498 726 781 913 1562 1826 2343 2739 4686 5478 5893 8591 10043 10709 11786 17182 17679 20086 21418 25773 30129 32127 35358 51546 60258 64254 64823 117799 129646 194469 235598 353397 388938 706794 713053 760339 888847 1295789 1426106 1520678 1777694 2139159 2281017 2591578 2666541 3887367 4278318 4562034 5333082 7774734 8363729 9777317 16727458 19554634 25091187 29331951 50182374 58663902 63108137 92001019 107550487 126216274 184002038 189324411 215100974 276003057 322651461 378648822 552006114 645302922 694189507 1388379014 2082568521 4165137042 7636084577 15272169154 22908253731 45816507462