Search a number
-
+
9978949620 = 2232573759433
BaseRepresentation
bin10010100101100101…
…01010111111110100
3221202110011011102200
421102302222333310
5130414102341440
64330111304500
7502200446403
oct112262527764
927673134380
109978949620
114260947602
121b25b1b130
13c30529c23
146a944363a
153d6100c30
hex252caaff4

9978949620 has 72 divisors (see below), whose sum is σ = 30684171336. Its totient is φ = 2624596992.

The previous prime is 9978949613. The next prime is 9978949621. The reversal of 9978949620 is 269498799.

It can be written as a sum of positive squares in 4 ways, for example, as 3628134756 + 6350814864 = 60234^2 + 79692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9978949621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366577 + ... + 392856.

Almost surely, 29978949620 is an apocalyptic number.

9978949620 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9978949620 is an abundant number, since it is smaller than the sum of its proper divisors (20705221716).

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

9978949620 is a wasteful number, since it uses less digits than its factorization.

9978949620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759521 (or 759516 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The square root of 9978949620 is about 99894.6926518121. The cubic root of 9978949620 is about 2152.9219057483.

The spelling of 9978949620 in words is "nine billion, nine hundred seventy-eight million, nine hundred forty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 759433 1518866 2278299 3037732 3797165 4556598 6834897 7594330 9113196 11391495 13669794 15188660 22782990 27339588 34174485 45565980 55438609 68348970 110877218 136697940 166315827 221754436 277193045 332631654 498947481 554386090 665263308 831579135 997894962 1108772180 1663158270 1995789924 2494737405 3326316540 4989474810 9978949620