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5629010616 = 23322315122511
BaseRepresentation
bin1010011111000001…
…11110001010111000
3112112021222100220200
411033200332022320
543012011314431
62330321122200
7256330541445
oct51740761270
915467870820
105629010616
11242947aa99
121111189360
136b9274018
143b583a9cc
1522e2a4ee6
hex14f83e2b8

5629010616 has 96 divisors (see below), whose sum is σ = 16014136320. Its totient is φ = 1782792000.

The previous prime is 5629010609. The next prime is 5629010617. The reversal of 5629010616 is 6160109265.

5629010616 is a `hidden beast` number, since 5 + 6 + 29 + 0 + 10 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5629010617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238801 + ... + 261311.

It is an arithmetic number, because the mean of its divisors is an integer number (166813920).

Almost surely, 25629010616 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 5629010616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007068160).

5629010616 is an abundant number, since it is smaller than the sum of its proper divisors (10385125704).

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

5629010616 is a wasteful number, since it uses less digits than its factorization.

5629010616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22697 (or 22690 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5629010616 is about 75026.7326757603. The cubic root of 5629010616 is about 1778.8692283681.

The spelling of 5629010616 in words is "five billion, six hundred twenty-nine million, ten thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 151 184 207 276 302 414 453 552 604 828 906 1208 1359 1656 1812 2718 3473 3624 5436 6946 10419 10872 13892 20838 22511 27784 31257 41676 45022 62514 67533 83352 90044 125028 135066 180088 202599 250056 270132 405198 517753 540264 810396 1035506 1553259 1620792 2071012 3106518 3399161 4142024 4659777 6213036 6798322 9319554 10197483 12426072 13596644 18639108 20394966 27193288 30592449 37278216 40789932 61184898 78180703 81579864 122369796 156361406 234542109 244739592 312722812 469084218 625445624 703626327 938168436 1407252654 1876336872 2814505308 5629010616