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1428995664 = 243217955439
BaseRepresentation
bin101010100101100…
…1011111001010000
310200120220111112100
41111023023321100
510411310330124
6353444200400
750261156055
oct12513137120
93616814470
101428995664
116736a3658
1233a699100
1319a091585
14d7add02c
15856c11c9
hex552cbe50

1428995664 has 60 divisors (see below), whose sum is σ = 4021617600. Its totient is φ = 473662272.

The previous prime is 1428995657. The next prime is 1428995761. The reversal of 1428995664 is 4665998241.

It is a self number, because there is not a number n which added to its sum of digits gives 1428995664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1944 + ... + 53495.

It is an arithmetic number, because the mean of its divisors is an integer number (67026960).

Almost surely, 21428995664 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 1428995664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010808800).

1428995664 is an abundant number, since it is smaller than the sum of its proper divisors (2592621936).

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

1428995664 is a wasteful number, since it uses less digits than its factorization.

1428995664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55632 (or 55623 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1428995664 is about 37802.0589915417. The cubic root of 1428995664 is about 1126.3593547352.

The spelling of 1428995664 in words is "one billion, four hundred twenty-eight million, nine hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 1074 1432 1611 2148 2864 3222 4296 6444 8592 12888 25776 55439 110878 166317 221756 332634 443512 498951 665268 887024 997902 1330536 1995804 2661072 3991608 7983216 9923581 19847162 29770743 39694324 59541486 79388648 89312229 119082972 158777296 178624458 238165944 357248916 476331888 714497832 1428995664