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5280941664 = 253310875623
BaseRepresentation
bin1001110101100010…
…01100011001100000
3111122001000122002000
410322301030121200
541303410113124
62232004524000
7244603156245
oct47261143140
914561018060
105280941664
11226aa546a9
1210346b0600
13662115a6b
143815135cc
1520d94d6c9
hex13ac4c660

5280941664 has 96 divisors (see below), whose sum is σ = 15419658240. Its totient is φ = 1758381696.

The previous prime is 5280941621. The next prime is 5280941683. The reversal of 5280941664 is 4661490825.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936357 + ... + 941979.

It is an arithmetic number, because the mean of its divisors is an integer number (160621440).

Almost surely, 25280941664 is an apocalyptic number.

5280941664 is a gapful number since it is divisible by the number (54) 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 5280941664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709829120).

5280941664 is an abundant number, since it is smaller than the sum of its proper divisors (10138716576).

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

5280941664 is a wasteful number, since it uses less digits than its factorization.

5280941664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5280941664 is about 72670.0878216065. The cubic root of 5280941664 is about 1741.4210507706.

The spelling of 5280941664 in words is "five billion, two hundred eighty million, nine hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1087 2174 3261 4348 5623 6522 8696 9783 11246 13044 16869 17392 19566 22492 26088 29349 33738 34784 39132 44984 50607 52176 58698 67476 78264 89968 101214 104352 117396 134952 151821 156528 179936 202428 234792 269904 303642 313056 404856 469584 539808 607284 809712 939168 1214568 1619424 2429136 4858272 6112201 12224402 18336603 24448804 36673206 48897608 55009809 73346412 97795216 110019618 146692824 165029427 195590432 220039236 293385648 330058854 440078472 586771296 660117708 880156944 1320235416 1760313888 2640470832 5280941664