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9988862976 = 2103613381
BaseRepresentation
bin10010100110110000…
…11111010000000000
3221210010210211000000
421103120133100000
5130424122103401
64331104000000
7502350635331
oct112330372000
927703724000
109988862976
1142664a8664
121b29300000
13c325bb211
146aa8a4288
153d6e0d186
hex25361f400

9988862976 has 154 divisors (see below), whose sum is σ = 29940498722. Its totient is φ = 3329372160.

The previous prime is 9988862971. The next prime is 9988862987. The reversal of 9988862976 is 6792688899.

It can be written as a sum of positive squares in only one way, i.e., 6737126400 + 3251736576 = 82080^2 + 57024^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9988862971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 739806 + ... + 753186.

Almost surely, 29988862976 is an apocalyptic number.

9988862976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9988862976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970249361).

9988862976 is an abundant number, since it is smaller than the sum of its proper divisors (19951635746).

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

9988862976 is an equidigital number, since it uses as much as digits as its factorization.

9988862976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13419 (or 13386 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The square root of 9988862976 is about 99944.2993671975. The cubic root of 9988862976 is about 2153.6345932401.

The spelling of 9988862976 in words is "nine billion, nine hundred eighty-eight million, eight hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2304 2592 2916 3072 3456 3888 4608 5184 5832 6912 7776 9216 10368 11664 13381 13824 15552 20736 23328 26762 27648 31104 40143 41472 46656 53524 62208 80286 82944 93312 107048 120429 124416 160572 186624 214096 240858 248832 321144 361287 373248 428192 481716 642288 722574 746496 856384 963432 1083861 1284576 1445148 1712768 1926864 2167722 2569152 2890296 3251583 3425536 3853728 4335444 5138304 5780592 6503166 6851072 7707456 8670888 9754749 10276608 11561184 13006332 13702144 15414912 17341776 19509498 20553216 23122368 26012664 30829824 34683552 39018996 41106432 46244736 52025328 61659648 69367104 78037992 92489472 104050656 123319296 138734208 156075984 184978944 208101312 277468416 312151968 369957888 416202624 554936832 624303936 832405248 1109873664 1248607872 1664810496 2497215744 3329620992 4994431488 9988862976