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5644619136 = 27341341879
BaseRepresentation
bin1010100000111001…
…00000110110000000
3112120101100100210000
411100130200312000
543030010303021
62332035440000
7256610320362
oct52034406600
915511310700
105644619136
1124372709a2
121116456000
136bc57a630
143b7940d32
15230839b26
hex150720d80

5644619136 has 160 divisors (see below), whose sum is σ = 18090903600. Its totient is φ = 1736764416.

The previous prime is 5644619119. The next prime is 5644619153. The reversal of 5644619136 is 6319164465.

5644619136 is a `hidden beast` number, since 56 + 4 + 461 + 9 + 136 = 666.

It is an interprime number because it is at equal distance from previous prime (5644619119) and next prime (5644619153).

It is a junction number, because it is equal to n+sod(n) for n = 5644619091 and 5644619100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113845 + ... + 155723.

Almost surely, 25644619136 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 5644619136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9045451800).

5644619136 is an abundant number, since it is smaller than the sum of its proper divisors (12446284464).

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

5644619136 is a wasteful number, since it uses less digits than its factorization.

5644619136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41918 (or 41897 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 5644619136 is about 75130.6803909029. The cubic root of 5644619136 is about 1780.5119025954.

The spelling of 5644619136 in words is "five billion, six hundred forty-four million, six hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 33696 41879 44928 67392 83758 125637 134784 167516 251274 335032 376911 502548 544427 670064 753822 1005096 1088854 1130733 1340128 1507644 1633281 2010192 2177708 2261466 2680256 3015288 3266562 3392199 4020384 4355416 4522932 4899843 5360512 6030576 6533124 6784398 8040768 8710832 9045864 9799686 12061152 13066248 13568796 14699529 16081536 17421664 18091728 19599372 24122304 26132496 27137592 29399058 34843328 36183456 39198744 44098587 48244608 52264992 54275184 58798116 69686656 72366912 78397488 88197174 104529984 108550368 117596232 144733824 156794976 176394348 209059968 217100736 235192464 313589952 352788696 434201472 470384928 627179904 705577392 940769856 1411154784 1881539712 2822309568 5644619136