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45339515232 = 2531157774411
BaseRepresentation
bin101010001110011100…
…100001100101100000
311100000210022000101220
4222032130201211200
51220323403441412
632454555055040
73163361343414
oct521634414540
9140023260356
1045339515232
1118256a79950
128954141480
134377365c2b
1422a17aad44
1512a565568c
hexa8e721960

45339515232 has 96 divisors (see below), whose sum is σ = 130062651264. Its totient is φ = 13715251200.

The previous prime is 45339515167. The next prime is 45339515237. The reversal of 45339515232 is 23251593354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45339515237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572107 + ... + 646517.

It is an arithmetic number, because the mean of its divisors is an integer number (1354819284).

Almost surely, 245339515232 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 45339515232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65031325632).

45339515232 is an abundant number, since it is smaller than the sum of its proper divisors (84723136032).

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

45339515232 is a wasteful number, since it uses less digits than its factorization.

45339515232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75012 (or 75004 counting only the distinct ones).

The product of its digits is 486000, while the sum is 42.

The spelling of 45339515232 in words is "forty-five billion, three hundred thirty-nine million, five hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 577 1056 1154 1731 2308 3462 4616 6347 6924 9232 12694 13848 18464 19041 25388 27696 38082 50776 55392 74411 76164 101552 148822 152328 203104 223233 297644 304656 446466 595288 609312 818521 892932 1190576 1637042 1785864 2381152 2455563 3274084 3571728 4911126 6548168 7143456 9822252 13096336 19644504 26192672 39289008 42935147 78578016 85870294 128805441 171740588 257610882 343481176 472286617 515221764 686962352 944573234 1030443528 1373924704 1416859851 1889146468 2060887056 2833719702 3778292936 4121774112 5667439404 7556585872 11334878808 15113171744 22669757616 45339515232