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9901129532 = 2272223359631
BaseRepresentation
bin10010011100010011…
…10011111100111100
3221120000201111100012
421032021303330330
5130234142121112
64314251322352
7500234132600
oct111611637474
927500644305
109901129532
114220a25188
121b03a503b8
13c1a380b38
1469cd87500
153ce37d022
hex24e273f3c

9901129532 has 72 divisors (see below), whose sum is σ = 20334827520. Its totient is φ = 4205869920.

The previous prime is 9901129531. The next prime is 9901129549. The reversal of 9901129532 is 2359211099.

It is a self number, because there is not a number n which added to its sum of digits gives 9901129532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9901129531) 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, 15690857 + ... + 15691487.

It is an arithmetic number, because the mean of its divisors is an integer number (282428160).

Almost surely, 29901129532 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 9901129532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10167413760).

9901129532 is an abundant number, since it is smaller than the sum of its proper divisors (10433697988).

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

9901129532 is a wasteful number, since it uses less digits than its factorization.

9901129532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 41.

The square root of 9901129532 is about 99504.4196606362. The cubic root of 9901129532 is about 2147.3108280029.

The spelling of 9901129532 in words is "nine billion, nine hundred one million, one hundred twenty-nine thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 223 359 446 631 718 892 1262 1436 1561 2513 2524 3122 4417 5026 6244 8834 10052 10927 17591 17668 21854 30919 35182 43708 61838 70364 80057 123676 140713 160114 226529 281426 320228 453058 560399 562852 906116 984991 1120798 1585703 1969982 2241596 3171406 3922793 3939964 6342812 6894937 7845586 11099921 13789874 15691172 22199842 27579748 44399684 50515967 101031934 202063868 353611769 707223538 1414447076 2475282383 4950564766 9901129532