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2062105152 = 26397263421
BaseRepresentation
bin111101011101001…
…0011101001000000
312022201012210110220
41322322103221000
513210344331102
6540342023040
7102046414242
oct17272235100
95281183426
102062105152
11969006138
12496717a80
1326b2b0583
14157c24092
15c107e1bc
hex7ae93a40

2062105152 has 112 divisors (see below), whose sum is σ = 5546335872. Its totient is φ = 676085760.

The previous prime is 2062105139. The next prime is 2062105153. The reversal of 2062105152 is 2515012602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2062105153) 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, 4897902 + ... + 4898322.

It is an arithmetic number, because the mean of its divisors is an integer number (49520856).

Almost surely, 22062105152 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 2062105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773167936).

2062105152 is an abundant number, since it is smaller than the sum of its proper divisors (3484230720).

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

2062105152 is a wasteful number, since it uses less digits than its factorization.

2062105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2062105152 is about 45410.4079699797. The cubic root of 2062105152 is about 1272.8296079297.

Adding to 2062105152 its reverse (2515012602), we get a palindrome (4577117754).

The spelling of 2062105152 in words is "two billion, sixty-two million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 263 291 388 421 526 582 776 789 842 1052 1164 1263 1552 1578 1684 2104 2328 2526 3104 3156 3368 4208 4656 5052 6208 6312 6736 8416 9312 10104 12624 13472 16832 18624 20208 25248 25511 26944 40416 40837 50496 51022 76533 80832 81674 102044 110723 122511 153066 163348 204088 221446 245022 306132 326696 332169 408176 442892 490044 612264 653392 664338 816352 885784 980088 1224528 1306784 1328676 1632704 1771568 1960176 2449056 2613568 2657352 3543136 3920352 4898112 5314704 7086272 7840704 10629408 10740131 21258816 21480262 32220393 42960524 64440786 85921048 128881572 171842096 257763144 343684192 515526288 687368384 1031052576 2062105152