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5629011128 = 23132912971439
BaseRepresentation
bin1010011111000001…
…11110010010111000
3112112021222101121122
411033200332102320
543012011324003
62330321124412
7256330543106
oct51740762270
915467871548
105629011128
112429480414
121111189708
136b9274320
143b583ac76
1522e2a5238
hex14f83e4b8

5629011128 has 64 divisors (see below), whose sum is σ = 11775456000. Its totient is φ = 2504742912.

The previous prime is 5629011109. The next prime is 5629011139. The reversal of 5629011128 is 8211109265.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3911033 + ... + 3912471.

It is an arithmetic number, because the mean of its divisors is an integer number (183991500).

Almost surely, 25629011128 is an apocalyptic number.

5629011128 is a gapful number since it is divisible by the number (58) 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 5629011128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887728000).

5629011128 is an abundant number, since it is smaller than the sum of its proper divisors (6146444872).

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

5629011128 is a wasteful number, since it uses less digits than its factorization.

5629011128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 5629011128 is about 75026.7360878774. The cubic root of 5629011128 is about 1778.8692823018.

The spelling of 5629011128 in words is "five billion, six hundred twenty-nine million, eleven thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1297 1439 1508 2594 2878 3016 5188 5756 10376 11512 16861 18707 33722 37414 37613 41731 67444 74828 75226 83462 134888 149656 150452 166924 300904 333848 488969 542503 977938 1085006 1866383 1955876 2170012 3732766 3911752 4340024 7465532 14931064 24262979 48525958 54125107 97051916 108250214 194103832 216500428 433000856 703626391 1407252782 2814505564 5629011128