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5356490496 = 28373132141
BaseRepresentation
bin1001111110100010…
…11000111100000000
3111211022011220120220
410333101120330000
541432230143441
62243304103040
7246511263240
oct47721307400
914738156526
105356490496
1122a9665655
121055a64a80
13674978106
1438b57bb20
152153c3466
hex13f458f00

5356490496 has 144 divisors (see below), whose sum is σ = 16818751488. Its totient is φ = 1481011200.

The previous prime is 5356490471. The next prime is 5356490533. The reversal of 5356490496 is 6940946535.

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, 150586 + ... + 182726.

Almost surely, 25356490496 is an apocalyptic number.

5356490496 is a gapful number since it is divisible by the number (56) 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 5356490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8409375744).

5356490496 is an abundant number, since it is smaller than the sum of its proper divisors (11462260992).

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

5356490496 is a wasteful number, since it uses less digits than its factorization.

5356490496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32198 (or 32184 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The square root of 5356490496 is about 73188.0488604526. The cubic root of 5356490496 is about 1749.6859840380.

The spelling of 5356490496 in words is "five billion, three hundred fifty-six million, four hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13888 20832 23808 27776 32141 41664 55552 64282 83328 96423 128564 166656 192846 224987 257128 385692 449974 514256 674961 771384 899948 996371 1028512 1349922 1542768 1799896 1992742 2057024 2699844 2989113 3085536 3599792 3985484 4114048 5399688 5978226 6171072 6974597 7199584 7970968 8228096 10799376 11956452 12342144 13949194 14399168 15941936 20923791 21598752 23912904 24684288 27898388 28798336 31883872 41847582 43197504 47825808 55796776 57596672 63767744 83695164 86395008 95651616 111593552 127535488 167390328 172790016 191303232 223187104 255070976 334780656 382606464 446374208 669561312 765212928 892748416 1339122624 1785496832 2678245248 5356490496