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2064457472 = 2871129521
BaseRepresentation
bin111101100001101…
…0001111100000000
312022212122022020212
41323003101330000
513212000114342
6540504253252
7102105412310
oct17303217400
95285568225
102064457472
1196a372500
12497471228
1326b92518c
14158277440
15c1396182
hex7b0d1f00

2064457472 has 108 divisors (see below), whose sum is σ = 5177149488. Its totient is φ = 804249600.

The previous prime is 2064457471. The next prime is 2064457487. The reversal of 2064457472 is 2747544602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064457471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212072 + ... + 221592.

Almost surely, 22064457472 is an apocalyptic number.

2064457472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588574744).

2064457472 is an abundant number, since it is smaller than the sum of its proper divisors (3112692016).

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

2064457472 is an equidigital number, since it uses as much as digits as its factorization.

2064457472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9566 (or 9541 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 41.

The square root of 2064457472 is about 45436.3012579149. The cubic root of 2064457472 is about 1273.3134120278.

The spelling of 2064457472 in words is "two billion, sixty-four million, four hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 616 704 847 896 968 1232 1408 1694 1792 1936 2464 2816 3388 3872 4928 6776 7744 9521 9856 13552 15488 19042 19712 27104 30976 38084 54208 66647 76168 104731 108416 133294 152336 209462 216832 266588 304672 418924 533176 609344 733117 837848 1066352 1152041 1218688 1466234 1675696 2132704 2304082 2437376 2932468 3351392 4265408 4608164 5864936 6702784 8064287 8530816 9216328 11729872 13405568 16128574 17061632 18432656 23459744 26811136 32257148 36865312 46919488 64514296 73730624 93838976 129028592 147461248 187677952 258057184 294922496 516114368 1032228736 2064457472