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9990644448 = 253198961543
BaseRepresentation
bin10010100110111110…
…10010001011100000
3221210021011022201110
421103133102023200
5130430101110243
64331210103320
7502402035201
oct112337221340
927707138643
109990644448
114267505054
121b29a1ab40
13c32a93045
146aac095a8
153d7160e33
hex2537d22e0

9990644448 has 96 divisors (see below), whose sum is σ = 27916358400. Its totient is φ = 3119440896.

The previous prime is 9990644423. The next prime is 9990644459. The reversal of 9990644448 is 8444460999.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 131565 + ... + 193107.

It is an arithmetic number, because the mean of its divisors is an integer number (290795400).

Almost surely, 29990644448 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 9990644448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958179200).

9990644448 is an abundant number, since it is smaller than the sum of its proper divisors (17925713952).

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

9990644448 is a wasteful number, since it uses less digits than its factorization.

9990644448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61664 (or 61656 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The square root of 9990644448 is about 99953.2112940850. The cubic root of 9990644448 is about 2153.7626162085.

The spelling of 9990644448 in words is "nine billion, nine hundred ninety million, six hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 89 96 114 152 178 228 267 304 356 456 534 608 712 912 1068 1424 1691 1824 2136 2848 3382 4272 5073 6764 8544 10146 13528 20292 27056 40584 54112 61543 81168 123086 162336 184629 246172 369258 492344 738516 984688 1169317 1477032 1969376 2338634 2954064 3507951 4677268 5477327 5908128 7015902 9354536 10954654 14031804 16431981 18709072 21909308 28063608 32863962 37418144 43818616 56127216 65727924 87637232 104069213 112254432 131455848 175274464 208138426 262911696 312207639 416276852 525823392 624415278 832553704 1248830556 1665107408 2497661112 3330214816 4995322224 9990644448