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5430641024 = 27173497151
BaseRepresentation
bin1010000111011000…
…10000000110000000
3112000110201010222202
411003230100012000
542110221003044
62254513252332
7251401454444
oct50354200600
915013633882
105430641024
112337500a86
1210768640a8
1368713ab73
14397360824
1521bb6dc4e
hex143b10180

5430641024 has 64 divisors (see below), whose sum is σ = 11489688000. Its totient is φ = 2547916800.

The previous prime is 5430641003. The next prime is 5430641033. The reversal of 5430641024 is 4201460345.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755849 + ... + 762999.

It is an arithmetic number, because the mean of its divisors is an integer number (179526375).

Almost surely, 25430641024 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 5430641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5744844000).

5430641024 is an abundant number, since it is smaller than the sum of its proper divisors (6059046976).

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

5430641024 is a wasteful number, since it uses less digits than its factorization.

5430641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7531 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 5430641024 is about 73692.8831299197. The cubic root of 5430641024 is about 1757.7227158238.

The spelling of 5430641024 in words is "five billion, four hundred thirty million, six hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 349 544 698 1088 1396 2176 2792 5584 5933 7151 11168 11866 14302 22336 23732 28604 44672 47464 57208 94928 114416 121567 189856 228832 243134 379712 457664 486268 759424 915328 972536 1945072 2495699 3890144 4991398 7780288 9982796 15560576 19965592 39931184 42426883 79862368 84853766 159724736 169707532 319449472 339415064 678830128 1357660256 2715320512 5430641024