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9970752888 = 2333733671723
BaseRepresentation
bin10010100100100110…
…11001110101111000
3221201212201201122000
421102103121311320
5130410003043023
64325215501000
7502041000255
oct112223316570
927655651560
109970752888
114257259248
121b23227760
13c2b91a0a5
146a830c42c
153d5532243
hex2524d9d78

9970752888 has 128 divisors (see below), whose sum is σ = 28168780800. Its totient is φ = 3267226368.

The previous prime is 9970752887. The next prime is 9970752929. The reversal of 9970752888 is 8882570799.

9970752888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9970752887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5785995 + ... + 5787717.

It is an arithmetic number, because the mean of its divisors is an integer number (220068600).

Almost surely, 29970752888 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 9970752888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084390400).

9970752888 is an abundant number, since it is smaller than the sum of its proper divisors (18198027912).

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

9970752888 is a wasteful number, since it uses less digits than its factorization.

9970752888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The square root of 9970752888 is about 99853.6573591574. The cubic root of 9970752888 is about 2152.3322726207.

The spelling of 9970752888 in words is "nine billion, nine hundred seventy million, seven hundred fifty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 367 438 584 657 734 876 1101 1314 1468 1723 1752 1971 2202 2628 2936 3303 3446 3942 4404 5169 5256 6606 6892 7884 8808 9909 10338 13212 13784 15507 15768 19818 20676 26424 26791 31014 39636 41352 46521 53582 62028 79272 80373 93042 107164 124056 125779 160746 186084 214328 241119 251558 321492 372168 377337 482238 503116 632341 642984 723357 754674 964476 1006232 1132011 1264682 1446714 1509348 1897023 1928952 2264022 2529364 2893428 3018696 3396033 3794046 4528044 5058728 5691069 5786856 6792066 7588092 9056088 11382138 13584132 15176184 17073207 22764276 27168264 34146414 45528552 46160893 68292828 92321786 136585656 138482679 184643572 276965358 369287144 415448037 553930716 830896074 1107861432 1246344111 1661792148 2492688222 3323584296 4985376444 9970752888