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45420526416 = 2434373487619
BaseRepresentation
bin101010010011010001…
…100011101101010000
311100020102201210212010
4222103101203231100
51221010123321131
632511011302520
73165364050546
oct522321435520
9140212653763
1045420526416
1118298780841
1289772aaa40
13438b08b645
1422ac457d96
1512ac808b46
hexa93463b50

45420526416 has 160 divisors (see below), whose sum is σ = 122156784640. Its totient is φ = 14532037632.

The previous prime is 45420526387. The next prime is 45420526423. The reversal of 45420526416 is 61462502454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73376955 + ... + 73377573.

It is an arithmetic number, because the mean of its divisors is an integer number (763479904).

Almost surely, 245420526416 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 45420526416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61078392320).

45420526416 is an abundant number, since it is smaller than the sum of its proper divisors (76736258224).

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

45420526416 is a wasteful number, since it uses less digits than its factorization.

45420526416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 45420526416 in words is "forty-five billion, four hundred twenty million, five hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 73 86 129 146 172 219 258 292 344 438 487 516 584 619 688 876 974 1032 1168 1238 1461 1752 1857 1948 2064 2476 2922 3139 3504 3714 3896 4952 5844 6278 7428 7792 9417 9904 11688 12556 14856 18834 20941 23376 25112 26617 29712 35551 37668 41882 45187 50224 53234 62823 71102 75336 79851 83764 90374 106468 106653 125646 135561 142204 150672 159702 167528 180748 212936 213306 251292 271122 284408 301453 319404 335056 361496 425872 426612 502584 542244 568816 602906 638808 722992 853224 904359 1005168 1084488 1205812 1277616 1528693 1706448 1808718 1943041 2168976 2411624 3057386 3617436 3886082 4586079 4823248 5829123 6114772 7234872 7772164 9172158 11658246 12229544 12962479 14469744 15544328 18344316 22006069 23316492 24459088 25924958 31088656 36688632 38887437 44012138 46632984 51849916 66018207 73377264 77774874 88024276 93265968 103699832 132036414 155549748 176048552 207399664 264072828 311099496 352097104 528145656 622198992 946260967 1056291312 1892521934 2838782901 3785043868 5677565802 7570087736 11355131604 15140175472 22710263208 45420526416