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2058085536 = 253133153197
BaseRepresentation
bin111101010101011…
…1110010010100000
312022102122120121020
41322222332102200
513203332214121
6540115525440
7102000303243
oct17252762240
95272576536
102058085536
11966810141
124952b9880
1326a503ac0
1415749925a
15c0a381c6
hex7aabe4a0

2058085536 has 96 divisors (see below), whose sum is σ = 6005841408. Its totient is φ = 612817920.

The previous prime is 2058085507. The next prime is 2058085537. The reversal of 2058085536 is 6355808502.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2058085537) 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, 12090 + ... + 65286.

It is an arithmetic number, because the mean of its divisors is an integer number (62560848).

Almost surely, 22058085536 is an apocalyptic number.

2058085536 is a gapful number since it is divisible by the number (26) 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 2058085536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002920704).

2058085536 is an abundant number, since it is smaller than the sum of its proper divisors (3947755872).

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

2058085536 is a wasteful number, since it uses less digits than its factorization.

2058085536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53254 (or 53246 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 2058085536 is about 45366.1276284410. The cubic root of 2058085536 is about 1272.0020370997.

The spelling of 2058085536 in words is "two billion, fifty-eight million, eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 53197 106394 159591 212788 319182 425576 638364 691561 851152 1276728 1383122 1649107 1702304 2074683 2553456 2766244 3298214 4149366 4947321 5106912 5532488 6596428 8298732 9894642 11064976 13192856 16597464 19789284 21438391 22129952 26385712 33194928 39578568 42876782 52771424 64315173 66389856 79157136 85753564 128630346 158314272 171507128 257260692 343014256 514521384 686028512 1029042768 2058085536