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10144454616 = 23321929325309
BaseRepresentation
bin10010111001010100…
…00001011111011000
3222011222120200121100
421130222001133120
5131233440021431
64354342511400
7506250304302
oct113452013730
928158520540
1010144454616
11433630999a
121b71435560
13c588c728a
146c3406972
153e58e44e6
hex25ca817d8

10144454616 has 96 divisors (see below), whose sum is σ = 29020446000. Its totient is φ = 3192452352.

The previous prime is 10144454603. The next prime is 10144454627. The reversal of 10144454616 is 61645444101.

10144454616 is a `hidden beast` number, since 1 + 0 + 144 + 454 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388170 + ... + 413478.

Almost surely, 210144454616 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 10144454616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14510223000).

10144454616 is an abundant number, since it is smaller than the sum of its proper divisors (18875991384).

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

10144454616 is a wasteful number, since it uses less digits than its factorization.

10144454616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25633 (or 25626 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 10144454616 its reverse (61645444101), we get a palindrome (71789898717).

The spelling of 10144454616 in words is "ten billion, one hundred forty-four million, four hundred fifty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 293 342 456 586 684 879 1172 1368 1758 2344 2637 3516 5274 5567 7032 10548 11134 16701 21096 22268 25309 33402 44536 50103 50618 66804 75927 100206 101236 133608 151854 200412 202472 227781 303708 400824 455562 480871 607416 911124 961742 1442613 1822248 1923484 2885226 3846968 4327839 5770452 7415537 8655678 11540904 14831074 17311356 22246611 29662148 34622712 44493222 59324296 66739833 88986444 133479666 140895203 177972888 266959332 281790406 422685609 533918664 563580812 845371218 1127161624 1268056827 1690742436 2536113654 3381484872 5072227308 10144454616