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5076743584 = 2511179197409
BaseRepresentation
bin1001011101001100…
…01111010110100000
3111002210210021222011
410232212033112200
540344121243314
62155432122304
7236543415463
oct45646172640
914083707864
105076743584
112175764660
12b98236394
1362ba1b9b3
1436235b2da
151eaa654c4
hex12e98f5a0

5076743584 has 96 divisors (see below), whose sum is σ = 11046974400. Its totient is φ = 2277488640.

The previous prime is 5076743569. The next prime is 5076743671. The reversal of 5076743584 is 4853476705.

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, 12412372 + ... + 12412780.

It is an arithmetic number, because the mean of its divisors is an integer number (115072650).

Almost surely, 25076743584 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 5076743584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523487200).

5076743584 is an abundant number, since it is smaller than the sum of its proper divisors (5970230816).

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

5076743584 is a wasteful number, since it uses less digits than its factorization.

5076743584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The square root of 5076743584 is about 71251.2707535802. The cubic root of 5076743584 is about 1718.6802098401.

The spelling of 5076743584 in words is "five billion, seventy-six million, seven hundred forty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 179 197 352 358 394 409 716 788 818 1432 1576 1636 1969 2167 2864 3152 3272 3938 4334 4499 5728 6304 6544 7876 8668 8998 13088 15752 17336 17996 31504 34672 35263 35992 63008 69344 70526 71984 73211 80573 141052 143968 146422 161146 282104 292844 322292 387893 564208 585688 644584 775786 805321 886303 1128416 1171376 1289168 1551572 1610642 1772606 2342752 2578336 3103144 3221284 3545212 6206288 6442568 7090424 12412576 12885136 14180848 14422567 25770272 28361696 28845134 57690268 115380536 158648237 230761072 317296474 461522144 634592948 1269185896 2538371792 5076743584