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5416378526208 = 293131092488559
BaseRepresentation
bin100111011010001100101…
…0100010110101000000000
3201011210121201202211112210
41032310121110112220000
51202220220400314313
615304125553222120
71066214623560336
oct116643124265000
921153551684483
105416378526208
1117a9089523031
12735892261940
133039baa1bc20
1414a222c91b56
1595d5be819c3
hex4ed19516a00

5416378526208 has 160 divisors (see below), whose sum is σ = 15682108780800. Its totient is φ = 1651287638016.

The previous prime is 5416378526189. The next prime is 5416378526219. The reversal of 5416378526208 is 8026258736145.

It is a super-2 number, since 2×54163785262082 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932233 + ... + 3420791.

It is an arithmetic number, because the mean of its divisors is an integer number (98013179880).

Almost surely, 25416378526208 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 5416378526208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841054390400).

5416378526208 is an abundant number, since it is smaller than the sum of its proper divisors (10265730254592).

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

5416378526208 is a wasteful number, since it uses less digits than its factorization.

5416378526208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488702 (or 2488686 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 5416378526208 in words is "five trillion, four hundred sixteen billion, three hundred seventy-eight million, five hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 128 156 192 208 218 256 312 327 384 416 436 512 624 654 768 832 872 1248 1308 1417 1536 1664 1744 2496 2616 2834 3328 3488 4251 4992 5232 5668 6656 6976 8502 9984 10464 11336 13952 17004 19968 20928 22672 27904 34008 41856 45344 55808 68016 83712 90688 136032 167424 181376 272064 362752 544128 725504 1088256 2176512 2488559 4977118 7465677 9954236 14931354 19908472 29862708 32351267 39816944 59725416 64702534 79633888 97053801 119450832 129405068 159267776 194107602 238901664 258810136 271252931 318535552 388215204 477803328 517620272 542505862 637071104 776430408 813758793 955606656 1035240544 1085011724 1274142208 1552860816 1627517586 1911213312 2070481088 2170023448 3105721632 3255035172 3526288103 3822426624 4140962176 4340046896 6211443264 6510070344 7052576206 8281924352 8680093792 10578864309 12422886528 13020140688 14105152412 16563848704 17360187584 21157728618 24845773056 26040281376 28210304824 34720375168 42315457236 49691546112 52080562752 56420609648 69440750336 84630914472 104161125504 112841219296 138881500672 169261828944 208322251008 225682438592 338523657888 416644502016 451364877184 677047315776 902729754368 1354094631552 1805459508736 2708189263104 5416378526208