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24229929248 = 257239312
BaseRepresentation
bin10110100100001101…
…110110000100100000
32022112121212221022222
4112210031312010200
5344110330213443
615044151250212
71515304000100
oct264415660440
968477787288
1024229929248
11a304188518
124842679968
132391b32355
14125bdad200
1596c2ad468
hex5a4376120

24229929248 has 54 divisors (see below), whose sum is σ = 55504984563. Its totient is φ = 10381613760.

The previous prime is 24229929233. The next prime is 24229929263. The reversal of 24229929248 is 84292992242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (24229929233) and next prime (24229929263).

It can be written as a sum of positive squares in only one way, i.e., 12114964624 + 12114964624 = 110068^2 + 110068^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=110068.

It is a self number, because there is not a number n which added to its sum of digits gives 24229929248.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6161843 + ... + 6165773.

Almost surely, 224229929248 is an apocalyptic number.

24229929248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

24229929248 is an abundant number, since it is smaller than the sum of its proper divisors (31275055315).

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

24229929248 is an frugal number, since it uses more digits than its factorization.

24229929248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7886 (or 3940 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 53.

The spelling of 24229929248 in words is "twenty-four billion, two hundred twenty-nine million, nine hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 3931 7862 15724 27517 31448 55034 62896 110068 125792 192619 220136 385238 440272 770476 880544 1540952 3081904 6163808 15452761 30905522 61811044 108169327 123622088 216338654 247244176 432677308 494488352 757185289 865354616 1514370578 1730709232 3028741156 3461418464 6057482312 12114964624 24229929248