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114746553408 = 2632116914099
BaseRepresentation
bin110101011011101101…
…1010111010001000000
3101222011212212212120110
41222313123113101000
53340000104202113
6124414104511320
711201345416404
oct1526733272100
9358155785513
10114746553408
114473348aa23
121a2a447b540
13aa889aa3a6
1457a774d104
152eb8b88bc3
hex1ab76d7440

114746553408 has 112 divisors (see below), whose sum is σ = 305555091200. Its totient is φ = 38003212800.

The previous prime is 114746553373. The next prime is 114746553431. The reversal of 114746553408 is 804355647411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27991743 + ... + 27995841.

Almost surely, 2114746553408 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 114746553408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152777545600).

114746553408 is an abundant number, since it is smaller than the sum of its proper divisors (190808537792).

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

114746553408 is a wasteful number, since it uses less digits than its factorization.

114746553408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 114746553408 in words is "one hundred fourteen billion, seven hundred forty-six million, five hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 691 844 1266 1382 1688 2073 2532 2764 3376 4099 4146 5064 5528 6752 8198 8292 10128 11056 12297 13504 16396 16584 20256 22112 24594 32792 33168 40512 44224 49188 65584 66336 98376 131168 132672 145801 196752 262336 291602 393504 437403 583204 787008 864889 874806 1166408 1729778 1749612 2332816 2594667 2832409 3459556 3499224 4665632 5189334 5664818 6919112 6998448 8497227 9331264 10378668 11329636 13838224 13996896 16994454 20757336 22659272 27676448 27993792 33988908 41514672 45318544 55352896 67977816 83029344 90637088 135955632 166058688 181274176 271911264 543822528 597638299 1195276598 1792914897 2390553196 3585829794 4781106392 7171659588 9562212784 14343319176 19124425568 28686638352 38248851136 57373276704 114746553408