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5646790464 = 26377615521
BaseRepresentation
bin1010100001001001…
…10010111101000000
3112120112102200021120
411100210302331000
543031034243324
62332154152240
7256634632650
oct52044627500
915515380246
105646790464
112438514287
121117122680
136bcb5aa43
143b7d48360
15230b18179
hex150932f40

5646790464 has 112 divisors (see below), whose sum is σ = 17100352896. Its totient is φ = 1610956800.

The previous prime is 5646790463. The next prime is 5646790489. The reversal of 5646790464 is 4640976465.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5646790463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020024 + ... + 1025544.

Almost surely, 25646790464 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 5646790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550176448).

5646790464 is an abundant number, since it is smaller than the sum of its proper divisors (11453562432).

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

5646790464 is a wasteful number, since it uses less digits than its factorization.

5646790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The square root of 5646790464 is about 75145.1293431584. The cubic root of 5646790464 is about 1780.7401777980.

The spelling of 5646790464 in words is "five billion, six hundred forty-six million, seven hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 761 1344 1522 2283 3044 4566 5327 5521 6088 9132 10654 11042 12176 15981 16563 18264 21308 22084 24352 31962 33126 36528 38647 42616 44168 48704 63924 66252 73056 77294 85232 88336 115941 127848 132504 146112 154588 170464 176672 231882 255696 265008 309176 340928 353344 463764 511392 530016 618352 927528 1022784 1060032 1236704 1855056 2473408 3710112 4201481 7420224 8402962 12604443 16805924 25208886 29410367 33611848 50417772 58820734 67223696 88231101 100835544 117641468 134447392 176462202 201671088 235282936 268894784 352924404 403342176 470565872 705848808 806684352 941131744 1411697616 1882263488 2823395232 5646790464