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9930118144 = 21097257389
BaseRepresentation
bin10010011111110000…
…11001010000000000
3221122001021021020111
421033320121100000
5130314102240034
64321204521104
7501035416522
oct111770312000
927561237214
109930118144
114236324811
121b116b0194
13c2339066b
146a2b71a12
153d1ba7364
hex24fe19400

9930118144 has 88 divisors (see below), whose sum is σ = 20184975720. Its totient is φ = 4882169856.

The previous prime is 9930118139. The next prime is 9930118151. The reversal of 9930118144 is 4418110399.

It can be written as a sum of positive squares in 4 ways, for example, as 2787840000 + 7142278144 = 52800^2 + 84512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9930118097 and 9930118106.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25527102 + ... + 25527490.

Almost surely, 29930118144 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 9930118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10092487860).

9930118144 is an abundant number, since it is smaller than the sum of its proper divisors (10254857576).

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

9930118144 is a wasteful number, since it uses less digits than its factorization.

9930118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 9930118144 is about 99649.9781434999. The cubic root of 9930118144 is about 2149.4044244695.

It can be divided in two parts, 99301181 and 44, that added together give a square (99301225 = 99652).

The spelling of 9930118144 in words is "nine billion, nine hundred thirty million, one hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 257 388 389 512 514 776 778 1024 1028 1552 1556 2056 3104 3112 4112 6208 6224 8224 12416 12448 16448 24832 24896 24929 32896 37733 49664 49792 49858 65792 75466 99328 99584 99716 99973 131584 150932 199168 199432 199946 263168 301864 398336 398864 399892 603728 797728 799784 1207456 1595456 1599568 2414912 3190912 3199136 4829824 6381824 6398272 9659648 9697381 12763648 12796544 19319296 19394762 25527296 25593088 38638592 38789524 51186176 77579048 102372352 155158096 310316192 620632384 1241264768 2482529536 4965059072 9930118144