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2053516212 = 2235111491289
BaseRepresentation
bin111101001100110…
…0010101110110100
312022010001102200000
41322121202232310
513201200004322
6535433551300
7101613412506
oct17231425664
95263042600
102053516212
1196417a140
12493875530
13269594067
14156a29d76
15c04343ac
hex7a662bb4

2053516212 has 144 divisors (see below), whose sum is σ = 5916456000. Its totient is φ = 617621760.

The previous prime is 2053516211. The next prime is 2053516249. The reversal of 2053516212 is 2126153502.

It is a happy number.

2053516212 is a `hidden beast` number, since 2 + 0 + 5 + 35 + 1 + 621 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053516211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592464 + ... + 1593752.

It is an arithmetic number, because the mean of its divisors is an integer number (41086500).

Almost surely, 22053516212 is an apocalyptic number.

2053516212 is a gapful number since it is divisible by the number (22) 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 2053516212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958228000).

2053516212 is an abundant number, since it is smaller than the sum of its proper divisors (3862939788).

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

2053516212 is a wasteful number, since it uses less digits than its factorization.

2053516212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1454 counting only the distinct ones).

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

The square root of 2053516212 is about 45315.7391200894. The cubic root of 2053516212 is about 1271.0599809962.

Adding to 2053516212 its reverse (2126153502), we get a palindrome (4179669714).

The spelling of 2053516212 in words is "two billion, fifty-three million, five hundred sixteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 149 162 198 243 297 298 324 396 447 486 594 596 891 894 972 1188 1289 1341 1639 1782 1788 2578 2673 2682 3278 3564 3867 4023 4917 5156 5346 5364 6556 7734 8046 9834 10692 11601 12069 14179 14751 15468 16092 19668 23202 24138 28358 29502 34803 36207 42537 44253 46404 48276 56716 59004 69606 72414 85074 88506 104409 127611 132759 139212 144828 170148 177012 192061 208818 255222 265518 313227 382833 384122 398277 417636 510444 531036 576183 626454 765666 768244 796554 1148499 1152366 1252908 1531332 1593108 1728549 2112671 2296998 2304732 3445497 3457098 4225342 4593996 5185647 6338013 6890994 6914196 8450684 10371294 12676026 13781988 15556941 19014039 20742588 25352052 31113882 38028078 46670823 57042117 62227764 76056156 93341646 114084234 171126351 186683292 228168468 342252702 513379053 684505404 1026758106 2053516212