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5027414688 = 253410718127
BaseRepresentation
bin1001010111010100…
…00100001010100000
3110222100222010110000
410223222010022200
540244004232223
62150510540000
7235404214452
oct45352041240
913870863400
105027414688
11214a93207a
12b83807600
13621739bba
1435999a2d2
151e656e543
hex12ba842a0

5027414688 has 120 divisors (see below), whose sum is σ = 14924492352. Its totient is φ = 1660051584.

The previous prime is 5027414669. The next prime is 5027414753. The reversal of 5027414688 is 8864147205.

5027414688 is a `hidden beast` number, since 502 + 74 + 14 + 68 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 268281 + ... + 286407.

Almost surely, 25027414688 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 5027414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462246176).

5027414688 is an abundant number, since it is smaller than the sum of its proper divisors (9897077664).

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

5027414688 is a wasteful number, since it uses less digits than its factorization.

5027414688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18256 (or 18239 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5027414688 is about 70904.2642441200. The cubic root of 5027414688 is about 1713.0954826685.

The spelling of 5027414688 in words is "five billion, twenty-seven million, four hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 288 321 324 428 432 642 648 856 864 963 1284 1296 1712 1926 2568 2592 2889 3424 3852 5136 5778 7704 8667 10272 11556 15408 17334 18127 23112 30816 34668 36254 46224 54381 69336 72508 92448 108762 138672 145016 163143 217524 277344 290032 326286 435048 489429 580064 652572 870096 978858 1305144 1468287 1740192 1939589 1957716 2610288 2936574 3879178 3915432 5220576 5818767 5873148 7758356 7830864 11637534 11746296 15516712 15661728 17456301 23275068 23492592 31033424 34912602 46550136 46985184 52368903 62066848 69825204 93100272 104737806 139650408 157106709 186200544 209475612 279300816 314213418 418951224 558601632 628426836 837902448 1256853672 1675804896 2513707344 5027414688