Search a number
-
+
5675660544 = 283193112547
BaseRepresentation
bin1010100100100101…
…11011010100000000
3112122112202102120210
411102102323110000
543110432114134
62335105034120
7260435214201
oct52222732400
915575672523
105675660544
112452842854
121124925940
136c5b28628
143bbb015a8
1523341c2e9
hex1524bb500

5675660544 has 144 divisors (see below), whose sum is σ = 16414791680. Its totient is φ = 1734359040.

The previous prime is 5675660539. The next prime is 5675660561. The reversal of 5675660544 is 4450665765.

It is a super-2 number, since 2×56756605442 = 64426245221436751872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5675660493 and 5675660502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446079 + ... + 458625.

Almost surely, 25675660544 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 5675660544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207395840).

5675660544 is an abundant number, since it is smaller than the sum of its proper divisors (10739131136).

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

5675660544 is a wasteful number, since it uses less digits than its factorization.

5675660544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616 (or 12602 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The square root of 5675660544 is about 75336.9799235409. The cubic root of 5675660544 is about 1783.7697893806.

The spelling of 5675660544 in words is "five billion, six hundred seventy-five million, six hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 256 304 372 384 456 496 589 608 744 768 912 992 1178 1216 1488 1767 1824 1984 2356 2432 2976 3534 3648 3968 4712 4864 5952 7068 7296 7936 9424 11904 12547 14136 14592 18848 23808 25094 28272 37641 37696 50188 56544 75282 75392 100376 113088 150564 150784 200752 226176 238393 301128 388957 401504 452352 476786 602256 715179 777914 803008 953572 1166871 1204512 1430358 1555828 1606016 1907144 2333742 2409024 2860716 3111656 3212032 3814288 4667484 4818048 5721432 6223312 7390183 7628576 9334968 9636096 11442864 12446624 14780366 15257152 18669936 22170549 22885728 24893248 29560732 30514304 37339872 44341098 45771456 49786496 59121464 61028608 74679744 88682196 91542912 99572992 118242928 149359488 177364392 183085824 236485856 298718976 354728784 472971712 709457568 945943424 1418915136 1891886848 2837830272 5675660544