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5503627296 = 25351275573
BaseRepresentation
bin1010010000000101…
…01011000000100000
3112012120001020100000
411020002223000200
542232412033141
62310041500000
7253246026426
oct51002530040
915176036300
105503627296
112374721712
1210971a1600
136992b39cb
143a2d1d116
152232895b6
hex1480ab020

5503627296 has 144 divisors (see below), whose sum is σ = 16361339904. Its totient is φ = 1819770624.

The previous prime is 5503627249. The next prime is 5503627369. The reversal of 5503627296 is 6927263055.

5503627296 is a `hidden beast` number, since 550 + 3 + 6 + 2 + 7 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984766 + ... + 990338.

It is an arithmetic number, because the mean of its divisors is an integer number (113620416).

Almost surely, 25503627296 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 5503627296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180669952).

5503627296 is an abundant number, since it is smaller than the sum of its proper divisors (10857712608).

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

5503627296 is a wasteful number, since it uses less digits than its factorization.

5503627296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5503627296 is about 74186.4360648225. The cubic root of 5503627296 is about 1765.5621314294.

The spelling of 5503627296 in words is "five billion, five hundred three million, six hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 127 144 162 216 243 254 288 324 381 432 486 508 648 762 864 972 1016 1143 1296 1524 1944 2032 2286 2592 3048 3429 3888 4064 4572 5573 6096 6858 7776 9144 10287 11146 12192 13716 16719 18288 20574 22292 27432 30861 33438 36576 41148 44584 50157 54864 61722 66876 82296 89168 100314 109728 123444 133752 150471 164592 178336 200628 246888 267504 300942 329184 401256 451413 493776 535008 601884 707771 802512 902826 987552 1203768 1354239 1415542 1605024 1805652 2123313 2407536 2708478 2831084 3611304 4246626 4815072 5416956 5662168 6369939 7222608 8493252 10833912 11324336 12739878 14445216 16986504 19109817 21667824 22648672 25479756 33973008 38219634 43335648 50959512 57329451 67946016 76439268 101919024 114658902 152878536 171988353 203838048 229317804 305757072 343976706 458635608 611514144 687953412 917271216 1375906824 1834542432 2751813648 5503627296