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2061589950 = 2325271673919
BaseRepresentation
bin111101011100001…
…0101110110111110
312022200020121202100
41322320111312332
513210231334300
6540323005530
7102042140220
oct17270256676
95280217670
102061589950
11968794052
124965098a6
1326b15cc14
14157b2c410
15c0ecb700
hex7ae15dbe

2061589950 has 144 divisors (see below), whose sum is σ = 6369592320. Its totient is φ = 468279360.

The previous prime is 2061589891. The next prime is 2061589963. The reversal of 2061589950 is 599851602.

2061589950 is a `hidden beast` number, since 2 + 0 + 61 + 589 + 9 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2061589896 and 2061589905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 524091 + ... + 528009.

It is an arithmetic number, because the mean of its divisors is an integer number (44233280).

Almost surely, 22061589950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2061589950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184796160).

2061589950 is an abundant number, since it is smaller than the sum of its proper divisors (4308002370).

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

2061589950 is a wasteful number, since it uses less digits than its factorization.

2061589950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 2061589950 is about 45404.7348852518. The cubic root of 2061589950 is about 1272.7235966885.

The spelling of 2061589950 in words is "two billion, sixty-one million, five hundred eighty-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 167 175 210 225 315 334 350 450 501 525 630 835 1002 1050 1169 1503 1575 1670 2338 2505 3006 3150 3507 3919 4175 5010 5845 7014 7515 7838 8350 10521 11690 11757 12525 15030 17535 19595 21042 23514 25050 27433 29225 35070 35271 37575 39190 52605 54866 58450 58785 70542 75150 82299 87675 97975 105210 117570 137165 164598 175350 176355 195950 246897 263025 274330 293925 352710 411495 493794 526050 587850 654473 685825 822990 881775 1234485 1308946 1371650 1763550 1963419 2057475 2468970 3272365 3926838 4114950 4581311 5890257 6172425 6544730 9162622 9817095 11780514 12344850 13743933 16361825 19634190 22906555 27487866 29451285 32723650 41231799 45813110 49085475 58902570 68719665 82463598 98170950 114532775 137439330 147256425 206158995 229065550 294512850 343598325 412317990 687196650 1030794975 2061589950