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5145487104 = 283172291721
BaseRepresentation
bin1001100101011000…
…11110011100000000
3111021121010211100110
410302230132130000
541014221041404
62210325351320
7241336630062
oct46254363400
914247124313
105145487104
11220054768a
12bb7268540
1364003a634
1436b533732
15201ae3b89
hex132b1e700

5145487104 has 144 divisors (see below), whose sum is σ = 14571839520. Its totient is φ = 1606287360.

The previous prime is 5145487097. The next prime is 5145487153. The reversal of 5145487104 is 4017845415.

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, 2988964 + ... + 2990684.

It is an arithmetic number, because the mean of its divisors is an integer number (101193330).

Almost surely, 25145487104 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 5145487104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285919760).

5145487104 is an abundant number, since it is smaller than the sum of its proper divisors (9426352416).

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

5145487104 is a wasteful number, since it uses less digits than its factorization.

5145487104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 5145487104 is about 71732.0507444197. The cubic root of 5145487104 is about 1726.4029311178.

The spelling of 5145487104 in words is "five billion, one hundred forty-five million, four hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 229 256 272 384 408 458 544 687 768 816 916 1088 1374 1632 1721 1832 2176 2748 3264 3442 3664 3893 4352 5163 5496 6528 6884 7328 7786 10326 10992 11679 13056 13768 14656 15572 20652 21984 23358 27536 29257 29312 31144 41304 43968 46716 55072 58514 58624 62288 82608 87771 87936 93432 110144 117028 124576 165216 175542 175872 186864 220288 234056 249152 330432 351084 373728 394109 440576 468112 498304 660864 702168 747456 788218 936224 996608 1182327 1321728 1404336 1494912 1576436 1872448 2364654 2808672 2989824 3152872 3744896 4729308 5617344 6305744 6699853 7489792 9458616 11234688 12611488 13399706 18917232 20099559 22469376 25222976 26799412 37834464 40199118 50445952 53598824 75668928 80398236 100891904 107197648 151337856 160796472 214395296 302675712 321592944 428790592 643185888 857581184 1286371776 1715162368 2572743552 5145487104