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9900498432 = 293111035689
BaseRepresentation
bin10010011100001110…
…11001111000000000
3221112222112102122010
421032013121320000
5130234011422212
64314230012520
7500225563626
oct111607317000
927488472563
109900498432
114220634010
121b037a7140
13c1a1bc7c6
1469cc61516
153ce2a603c
hex24e1d9e00

9900498432 has 160 divisors (see below), whose sum is σ = 29057783040. Its totient is φ = 2970501120.

The previous prime is 9900498409. The next prime is 9900498469. The reversal of 9900498432 is 2348940099.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1737444 + ... + 1743132.

It is an arithmetic number, because the mean of its divisors is an integer number (181611144).

Almost surely, 29900498432 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 9900498432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528891520).

9900498432 is an abundant number, since it is smaller than the sum of its proper divisors (19157284608).

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

9900498432 is a wasteful number, since it uses less digits than its factorization.

9900498432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 9900498432 is about 99501.2483941785. The cubic root of 9900498432 is about 2147.2652036913.

The spelling of 9900498432 in words is "nine billion, nine hundred million, four hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 103 128 132 176 192 206 256 264 309 352 384 412 512 528 618 704 768 824 1056 1133 1236 1408 1536 1648 2112 2266 2472 2816 3296 3399 4224 4532 4944 5632 5689 6592 6798 8448 9064 9888 11378 13184 13596 16896 17067 18128 19776 22756 26368 27192 34134 36256 39552 45512 52736 54384 62579 68268 72512 79104 91024 108768 125158 136536 145024 158208 182048 187737 217536 250316 273072 290048 364096 375474 435072 500632 546144 580096 585967 728192 750948 870144 1001264 1092288 1171934 1456384 1501896 1740288 1757901 2002528 2184576 2343868 2912768 3003792 3515802 4005056 4369152 4687736 6007584 6445637 7031604 8010112 8738304 9375472 12015168 12891274 14063208 16020224 18750944 19336911 24030336 25782548 28126416 32040448 37501888 38673822 48060672 51565096 56252832 75003776 77347644 96121344 103130192 112505664 150007552 154695288 206260384 225011328 300015104 309390576 412520768 450022656 618781152 825041536 900045312 1237562304 1650083072 2475124608 3300166144 4950249216 9900498432