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9906455472 = 2431071979791
BaseRepresentation
bin10010011100111100…
…01000001110110000
3221120101202002011020
421032132020032300
5130242023033342
64315001415440
7500330324244
oct111636101660
927511662136
109906455472
114223a32691
121b0579a580
13c1b4c7094
1469d972424
153cea810ec
hex24e7883b0

9906455472 has 80 divisors (see below), whose sum is σ = 25964623872. Its totient is φ = 3254352640.

The previous prime is 9906455431. The next prime is 9906455491. The reversal of 9906455472 is 2745546099.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006897 + ... + 1016687.

Almost surely, 29906455472 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 9906455472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982311936).

9906455472 is an abundant number, since it is smaller than the sum of its proper divisors (16058168400).

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

9906455472 is a wasteful number, since it uses less digits than its factorization.

9906455472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 9906455472 is about 99531.1783914970. The cubic root of 9906455472 is about 2147.6957806693.

The spelling of 9906455472 in words is "nine billion, nine hundred six million, four hundred fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 197 214 321 394 428 591 642 788 856 1182 1284 1576 1712 2364 2568 3152 4728 5136 9456 9791 19582 21079 29373 39164 42158 58746 63237 78328 84316 117492 126474 156656 168632 234984 252948 337264 469968 505896 1011792 1047637 1928827 2095274 3142911 3857654 4190548 5786481 6285822 7715308 8381096 11572962 12571644 15430616 16762192 23145924 25143288 30861232 46291848 50286576 92583696 206384489 412768978 619153467 825537956 1238306934 1651075912 2476613868 3302151824 4953227736 9906455472