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11420462624 = 2529371312539
BaseRepresentation
bin10101010001011011…
…00110111000100000
31002110220121121112012
422220231212320200
5141342114300444
65125124052052
7553003221254
oct125055467040
932426547465
1011420462624
11493060a66a
122268834028
131100081abc
147a4a80264
1546c945b9e
hex2a8b66e20

11420462624 has 96 divisors (see below), whose sum is σ = 24079809600. Its totient is φ = 5321272320.

The previous prime is 11420462621. The next prime is 11420462659. The reversal of 11420462624 is 42626402411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11420462621) 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, 4496747 + ... + 4499285.

It is an arithmetic number, because the mean of its divisors is an integer number (250831350).

Almost surely, 211420462624 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 11420462624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039904800).

11420462624 is an abundant number, since it is smaller than the sum of its proper divisors (12659346976).

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

11420462624 is a wasteful number, since it uses less digits than its factorization.

11420462624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 11420462624 in words is "eleven billion, four hundred twenty million, four hundred sixty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 37 58 74 116 131 148 232 262 296 464 524 592 928 1048 1073 1184 2096 2146 2539 3799 4192 4292 4847 5078 7598 8584 9694 10156 15196 17168 19388 20312 30392 34336 38776 40624 60784 73631 77552 81248 93943 121568 140563 147262 155104 187886 281126 294524 332609 375772 562252 589048 665218 751544 1124504 1178096 1330436 1503088 2249008 2356192 2660872 2724347 3006176 4498016 5321744 5448694 9645661 10643488 10897388 12306533 19291322 21794776 24613066 38582644 43589552 49226132 77165288 87179104 98452264 154330576 196904528 308661152 356889457 393809056 713778914 1427557828 2855115656 5710231312 11420462624