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5307098496 = 273719110337
BaseRepresentation
bin1001111000101001…
…11110010110000000
3111200212020112111120
410330110332112000
541332104122441
62234341312240
7245341410240
oct47424762600
914625215446
105307098496
11228379a717
121041405680
1366767368b
14384ba1b20
15210db8966
hex13c53e580

5307098496 has 128 divisors (see below), whose sum is σ = 16196751360. Its totient is φ = 1508229120.

The previous prime is 5307098431. The next prime is 5307098509. The reversal of 5307098496 is 6948907035.

It is a tau number, because it is divible by the number of its divisors (128).

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, 508240 + ... + 518576.

It is an arithmetic number, because the mean of its divisors is an integer number (126537120).

Almost surely, 25307098496 is an apocalyptic number.

5307098496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5307098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098375680).

5307098496 is an abundant number, since it is smaller than the sum of its proper divisors (10889652864).

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

5307098496 is a wasteful number, since it uses less digits than its factorization.

5307098496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 5307098496 is about 72849.8352503285. The cubic root of 5307098496 is about 1744.2914391047.

The spelling of 5307098496 in words is "five billion, three hundred seven million, ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 191 192 224 336 382 384 448 573 672 764 896 1146 1337 1344 1528 2292 2674 2688 3056 4011 4584 5348 6112 8022 9168 10337 10696 12224 16044 18336 20674 21392 24448 31011 32088 36672 41348 42784 62022 64176 72359 73344 82696 85568 124044 128352 144718 165392 171136 217077 248088 256704 289436 330784 434154 496176 513408 578872 661568 868308 992352 1157744 1323136 1736616 1974367 1984704 2315488 3473232 3948734 3969408 4630976 5923101 6946464 7897468 9261952 11846202 13820569 13892928 15794936 23692404 27641138 27785856 31589872 41461707 47384808 55282276 63179744 82923414 94769616 110564552 126359488 165846828 189539232 221129104 252718976 331693656 379078464 442258208 663387312 758156928 884516416 1326774624 1769032832 2653549248 5307098496