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2050141536 = 25332698821
BaseRepresentation
bin111101000110010…
…1010110101100000
312021212200222111000
41322030222311200
513144314012121
6535233352000
7101542626012
oct17214526540
95255628430
102050141536
11962284753
12492708600
13268982001
141563cc1b2
15beeb9526
hex7a32ad60

2050141536 has 96 divisors (see below), whose sum is σ = 6002488800. Its totient is φ = 680762880.

The previous prime is 2050141529. The next prime is 2050141567. The reversal of 2050141536 is 6351410502.

2050141536 is a `hidden beast` number, since 2 + 0 + 501 + 4 + 153 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228006 + ... + 236826.

It is an arithmetic number, because the mean of its divisors is an integer number (62525925).

Almost surely, 22050141536 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 2050141536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001244400).

2050141536 is an abundant number, since it is smaller than the sum of its proper divisors (3952347264).

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

2050141536 is a wasteful number, since it uses less digits than its factorization.

2050141536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9109 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2050141536 is about 45278.4886673573. The cubic root of 2050141536 is about 1270.3633275478.

The spelling of 2050141536 in words is "two billion, fifty million, one hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 269 288 432 538 807 864 1076 1614 2152 2421 3228 4304 4842 6456 7263 8608 8821 9684 12912 14526 17642 19368 25824 26463 29052 35284 38736 52926 58104 70568 77472 79389 105852 116208 141136 158778 211704 232416 238167 282272 317556 423408 476334 635112 846816 952668 1270224 1905336 2372849 2540448 3810672 4745698 7118547 7621344 9491396 14237094 18982792 21355641 28474188 37965584 42711282 56948376 64066923 75931168 85422564 113896752 128133846 170845128 227793504 256267692 341690256 512535384 683380512 1025070768 2050141536