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9922054752 = 2532195233467
BaseRepresentation
bin10010011110110011…
…01000101001100000
3221121111002121100100
421033121220221200
5130310021223002
64320320022400
7500610034221
oct111731505140
927544077310
109922054752
114231817655
121b0aa61a00
13c217c941c
146a1a73248
153d111311c
hex24f668a60

9922054752 has 144 divisors (see below), whose sum is σ = 29766260160. Its totient is φ = 3126387456.

The previous prime is 9922054741. The next prime is 9922054783. The reversal of 9922054752 is 2574502299.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9922054698 and 9922054707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2860123 + ... + 2863589.

It is an arithmetic number, because the mean of its divisors is an integer number (206710140).

Almost surely, 29922054752 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 9922054752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883130080).

9922054752 is an abundant number, since it is smaller than the sum of its proper divisors (19844205408).

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

9922054752 is a wasteful number, since it uses less digits than its factorization.

9922054752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 9922054752 is about 99609.5113530831. The cubic root of 9922054752 is about 2148.8224849785.

The spelling of 9922054752 in words is "nine billion, nine hundred twenty-two million, fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 523 608 684 912 1046 1368 1569 1824 2092 2736 3138 3467 4184 4707 5472 6276 6934 8368 9414 9937 10401 12552 13868 16736 18828 19874 20802 25104 27736 29811 31203 37656 39748 41604 50208 55472 59622 62406 65873 75312 79496 83208 89433 110944 119244 124812 131746 150624 158992 166416 178866 197619 238488 249624 263492 317984 332832 357732 395238 476976 499248 526984 592857 715464 790476 953952 998496 1053968 1185714 1430928 1580952 1813241 2107936 2371428 2861856 3161904 3626482 4742856 5439723 6323808 7252964 9485712 10879446 14505928 16319169 18971424 21758892 29011856 32638338 34451579 43517784 58023712 65276676 68903158 87035568 103354737 130553352 137806316 174071136 206709474 261106704 275612632 310064211 413418948 522213408 551225264 620128422 826837896 1102450528 1240256844 1653675792 2480513688 3307351584 4961027376 9922054752