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9925624940 = 22571122728393
BaseRepresentation
bin10010011111001110…
…10000010001101100
3221121201210222201112
421033213100101230
5130311424444230
64320524331152
7500652264020
oct111747202154
927551728645
109925624940
114233835a20
121b100a3ab8
13c2247946a
146a2322380
153d15bad95
hex24f9d046c

9925624940 has 96 divisors (see below), whose sum is σ = 26102490624. Its totient is φ = 3079964160.

The previous prime is 9925624931. The next prime is 9925624949. The reversal of 9925624940 is 494265299.

It is an interprime number because it is at equal distance from previous prime (9925624931) and next prime (9925624949).

It is not an unprimeable number, because it can be changed into a prime (9925624949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335384 + ... + 363776.

It is an arithmetic number, because the mean of its divisors is an integer number (271900944).

Almost surely, 29925624940 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 9925624940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13051245312).

9925624940 is an abundant number, since it is smaller than the sum of its proper divisors (16176865684).

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

9925624940 is a wasteful number, since it uses less digits than its factorization.

9925624940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28647 (or 28645 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The square root of 9925624940 is about 99627.4306604361. The cubic root of 9925624940 is about 2149.0801863140.

The spelling of 9925624940 in words is "nine billion, nine hundred twenty-five million, six hundred twenty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 227 308 385 454 770 908 1135 1540 1589 2270 2497 3178 4540 4994 6356 7945 9988 12485 15890 17479 24970 28393 31780 34958 49940 56786 69916 87395 113572 141965 174790 198751 283930 312323 349580 397502 567860 624646 795004 993755 1249292 1561615 1987510 2186261 3123230 3975020 4372522 6246460 6445211 8745044 10931305 12890422 21862610 25780844 32226055 43725220 45116477 64452110 70897321 90232954 128904220 141794642 180465908 225582385 283589284 354486605 451164770 496281247 708973210 902329540 992562494 1417946420 1985124988 2481406235 4962812470 9925624940