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5098098304 = 271323314297
BaseRepresentation
bin1001011111101111…
…01100111010000000
3111011021222020010201
410233313230322000
540420103121204
62201513534544
7240223056235
oct45767547200
914137866121
105098098304
11218681a792
12ba3414454
13633287920
1436511978c
151ec8829a4
hex12fdece80

5098098304 has 128 divisors (see below), whose sum is σ = 11784084480. Its totient is φ = 2177556480.

The previous prime is 5098098287. The next prime is 5098098307. The reversal of 5098098304 is 4038908905.

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

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (5098098307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184284 + ... + 1188580.

It is an arithmetic number, because the mean of its divisors is an integer number (92063160).

Almost surely, 25098098304 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 5098098304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892042240).

5098098304 is an abundant number, since it is smaller than the sum of its proper divisors (6685986176).

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

5098098304 is a wasteful number, since it uses less digits than its factorization.

5098098304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 5098098304 is about 71400.9685088375. The cubic root of 5098098304 is about 1721.0866470367.

The spelling of 5098098304 in words is "five billion, ninety-eight million, ninety-eight thousand, three hundred four".

Divisors: 1 2 4 8 13 16 23 26 31 32 46 52 62 64 92 104 124 128 184 208 248 299 368 403 416 496 598 713 736 806 832 992 1196 1426 1472 1612 1664 1984 2392 2852 2944 3224 3968 4297 4784 5704 6448 8594 9269 9568 11408 12896 17188 18538 19136 22816 25792 34376 37076 38272 45632 51584 55861 68752 74152 91264 98831 111722 133207 137504 148304 197662 223444 266414 275008 296608 395324 446888 532828 550016 593216 790648 893776 1065656 1186432 1284803 1581296 1731691 1787552 2131312 2569606 3063761 3162592 3463382 3575104 4262624 5139212 6127522 6325184 6926764 7150208 8525248 10278424 12255044 12650368 13853528 17050496 20556848 24510088 27707056 39828893 41113696 49020176 55414112 79657786 82227392 98040352 110828224 159315572 164454784 196080704 221656448 318631144 392161408 637262288 1274524576 2549049152 5098098304