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10210542496 = 2571137111997
BaseRepresentation
bin10011000001001100…
…01000001110100000
3222100120221022010121
421200212020032200
5131402344324441
64405103210024
7511012115320
oct114046101640
928316838117
1010210542496
11436a648780
121b8b5a6914
13c694c622b
146cc0cb280
153eb5eadd1
hex2609883a0

10210542496 has 96 divisors (see below), whose sum is σ = 25739828352. Its totient is φ = 3870581760.

The previous prime is 10210542493. The next prime is 10210542527. The reversal of 10210542496 is 69424501201.

It is not an unprimeable number, because it can be changed into a prime (10210542493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35170 + ... + 147166.

It is an arithmetic number, because the mean of its divisors is an integer number (268123212).

Almost surely, 210210542496 is an apocalyptic number.

10210542496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210542496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869914176).

10210542496 is an abundant number, since it is smaller than the sum of its proper divisors (15529285856).

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

10210542496 is a wasteful number, since it uses less digits than its factorization.

10210542496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112062 (or 112054 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 10210542496 in words is "ten billion, two hundred ten million, five hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 259 296 308 352 407 518 592 616 814 1036 1184 1232 1628 2072 2464 2849 3256 4144 5698 6512 8288 11396 13024 22792 45584 91168 111997 223994 447988 783979 895976 1231967 1567958 1791952 2463934 3135916 3583904 4143889 4927868 6271832 8287778 8623769 9855736 12543664 16575556 17247538 19711472 25087328 29007223 33151112 34495076 39422944 45582779 58014446 66302224 68990152 91165558 116028892 132604448 137980304 182331116 232057784 275960608 319079453 364662232 464115568 638158906 729324464 928231136 1276317812 1458648928 2552635624 5105271248 10210542496