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5418302976 = 29331672347
BaseRepresentation
bin1010000101111010…
…01011111000000000
3111222121111022101000
411002331023320000
542044041143401
62253353012000
7251161546452
oct50275137000
914877438330
105418302976
112330544249
1210726b4000
1368470b048
1439586c2d2
1521aa33186
hex142f4be00

5418302976 has 160 divisors (see below), whose sum is σ = 16141466880. Its totient is φ = 1794521088.

The previous prime is 5418302933. The next prime is 5418302999. The reversal of 5418302976 is 6792038145.

5418302976 is a `hidden beast` number, since 541 + 8 + 30 + 2 + 9 + 76 = 666.

5418302976 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5418302976 is strictly pandigital in base 10.

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, 2307435 + ... + 2309781.

It is an arithmetic number, because the mean of its divisors is an integer number (100884168).

It is a 1-persistent number, because it is pandigital, but 2⋅5418302976 = 10836605952 is not.

Almost surely, 25418302976 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 5418302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8070733440).

5418302976 is an abundant number, since it is smaller than the sum of its proper divisors (10723163904).

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

5418302976 is a wasteful number, since it uses less digits than its factorization.

5418302976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5418302976 is about 73609.1229128564. The cubic root of 5418302976 is about 1756.3905642048.

The spelling of 5418302976 in words is "five billion, four hundred eighteen million, three hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 167 192 216 256 288 334 384 432 501 512 576 668 768 864 1002 1152 1336 1503 1536 1728 2004 2304 2347 2672 3006 3456 4008 4509 4608 4694 5344 6012 6912 7041 8016 9018 9388 10688 12024 13824 14082 16032 18036 18776 21123 21376 24048 28164 32064 36072 37552 42246 42752 48096 56328 63369 64128 72144 75104 84492 85504 96192 112656 126738 128256 144288 150208 168984 192384 225312 253476 256512 288576 300416 337968 384768 391949 450624 506952 577152 600832 675936 769536 783898 901248 1013904 1154304 1175847 1201664 1351872 1567796 1802496 2027808 2308608 2351694 2703744 3135592 3527541 3604992 4055616 4703388 5407488 6271184 7055082 8111232 9406776 10582623 10814976 12542368 14110164 16222464 18813552 21165246 25084736 28220328 32444928 37627104 42330492 50169472 56440656 75254208 84660984 100338944 112881312 150508416 169321968 200677888 225762624 301016832 338643936 451525248 602033664 677287872 903050496 1354575744 1806100992 2709151488 5418302976