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612253343412 = 22353135956599
BaseRepresentation
bin10001110100011010010…
…01001001111010110100
32011112022222200101200000
420322031021021322310
540012343323442122
61145133145551300
762143131360204
oct10721511117264
92145288611600
10612253343412
11216723061897
129a7aa4a5530
1345973435479
14218c17ac404
1510dd59830ac
hex8e8d249eb4

612253343412 has 144 divisors (see below), whose sum is σ = 1661377536000. Its totient is φ = 196947456480.

The previous prime is 612253343411. The next prime is 612253343419. The reversal of 612253343412 is 214343352216.

612253343412 is a `hidden beast` number, since 61 + 2 + 253 + 3 + 4 + 341 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612253343411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10789089 + ... + 10845687.

It is an arithmetic number, because the mean of its divisors is an integer number (11537344000).

Almost surely, 2612253343412 is an apocalyptic number.

612253343412 is a gapful number since it is divisible by the number (62) 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 612253343412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830688768000).

612253343412 is an abundant number, since it is smaller than the sum of its proper divisors (1049124192588).

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

612253343412 is a wasteful number, since it uses less digits than its factorization.

612253343412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57008 (or 56994 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 612253343412 its reverse (214343352216), we get a palindrome (826596695628).

The spelling of 612253343412 in words is "six hundred twelve billion, two hundred fifty-three million, three hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 359 372 486 558 718 837 972 1077 1116 1436 1674 2154 2511 3231 3348 4308 5022 6462 7533 9693 10044 11129 12924 15066 19386 22258 29079 30132 33387 38772 44516 56599 58158 66774 87237 100161 113198 116316 133548 169797 174474 200322 226396 300483 339594 348948 400644 509391 600966 679188 901449 1018782 1201932 1528173 1754569 1802898 2037564 2704347 3056346 3509138 3605796 4584519 5263707 5408694 6112692 7018276 9169038 10527414 10817388 13753557 15791121 18338076 20319041 21054828 27507114 31582242 40638082 47373363 55014228 60957123 63164484 81276164 94746726 121914246 142120089 182871369 189493452 243828492 284240178 365742738 426360267 548614107 568480356 629890271 731485476 852720534 1097228214 1259780542 1645842321 1705441068 1889670813 2194456428 2519561084 3291684642 3779341626 4937526963 5669012439 6583369284 7558683252 9875053926 11338024878 17007037317 19750107852 22676049756 34014074634 51021111951 68028149268 102042223902 153063335853 204084447804 306126671706 612253343412