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2050155264 = 28313811933
BaseRepresentation
bin111101000110010…
…1110001100000000
312021212201200022110
41322030232030000
513144314432024
6535233535320
7101543014023
oct17214561400
95255650273
102050155264
11962293aa3
12492714540
13268988331
141563d31ba
15beebd629
hex7a32e300

2050155264 has 72 divisors (see below), whose sum is σ = 5463178672. Its totient is φ = 682536960.

The previous prime is 2050155257. The next prime is 2050155313. The reversal of 2050155264 is 4625510502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1059642 + ... + 1061574.

Almost surely, 22050155264 is an apocalyptic number.

2050155264 is a gapful number since it is divisible by the number (24) 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 2050155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731589336).

2050155264 is an abundant number, since it is smaller than the sum of its proper divisors (3413023408).

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

2050155264 is a wasteful number, since it uses less digits than its factorization.

2050155264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 2050155264 is about 45278.6402622694. The cubic root of 2050155264 is about 1270.3661630446.

Adding to 2050155264 its reverse (4625510502), we get a palindrome (6675665766).

The spelling of 2050155264 in words is "two billion, fifty million, one hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1381 1933 2762 3866 4143 5524 5799 7732 8286 11048 11598 15464 16572 22096 23196 30928 33144 44192 46392 61856 66288 88384 92784 123712 132576 176768 185568 247424 265152 353536 371136 494848 530304 742272 1060608 1484544 2669473 5338946 8008419 10677892 16016838 21355784 32033676 42711568 64067352 85423136 128134704 170846272 256269408 341692544 512538816 683385088 1025077632 2050155264