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9970059648 = 273149271643
BaseRepresentation
bin10010100100100001…
…10000100110000000
3221201211102111200110
421102100300212000
5130404313402043
64325152551320
7502032052203
oct112220604600
927654374613
109970059648
11425692541a
121b22b52540
13c2b7366a3
146a81ab93a
153d5446b33
hex252430980

9970059648 has 128 divisors (see below), whose sum is σ = 26800704000. Its totient is φ = 3283752960.

The previous prime is 9970059643. The next prime is 9970059769. The reversal of 9970059648 is 8469500799.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9970059643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15505215 + ... + 15505857.

It is an arithmetic number, because the mean of its divisors is an integer number (209380500).

Almost surely, 29970059648 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 9970059648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13400352000).

9970059648 is an abundant number, since it is smaller than the sum of its proper divisors (16830644352).

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

9970059648 is a wasteful number, since it uses less digits than its factorization.

9970059648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The square root of 9970059648 is about 99850.1860188553. The cubic root of 9970059648 is about 2152.2823894800.

The spelling of 9970059648 in words is "nine billion, nine hundred seventy million, fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 271 298 384 447 542 596 643 813 894 1084 1192 1286 1626 1788 1929 2168 2384 2572 3252 3576 3858 4336 4768 5144 6504 7152 7716 8672 9536 10288 13008 14304 15432 17344 19072 20576 26016 28608 30864 34688 40379 41152 52032 57216 61728 80758 82304 95807 104064 121137 123456 161516 174253 191614 242274 246912 287421 323032 348506 383228 484548 522759 574842 646064 697012 766456 969096 1045518 1149684 1292128 1394024 1532912 1938192 2091036 2299368 2584256 2788048 3065824 3876384 4182072 4598736 5168512 5576096 6131648 7752768 8364144 9197472 11152192 12263296 15505536 16728288 18394944 22304384 25963697 33456576 36789888 51927394 66913152 77891091 103854788 155782182 207709576 311564364 415419152 623128728 830838304 1246257456 1661676608 2492514912 3323353216 4985029824 9970059648