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4957986012 = 2237217895573
BaseRepresentation
bin1001001111000010…
…01101110011011100
3110210112022210012120
410213201031303130
540123221023022
62135550502540
7233602120500
oct44741156334
913715283176
104957986012
112114721301
12b64504a50
1361023b445
14350686300
151e0407d5c
hex12784dcdc

4957986012 has 144 divisors (see below), whose sum is σ = 14411688480. Its totient is φ = 1318023168.

The previous prime is 4957985987. The next prime is 4957986017. The reversal of 4957986012 is 2106897594.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4957986017) 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, 886858 + ... + 892430.

It is an arithmetic number, because the mean of its divisors is an integer number (100081170).

Almost surely, 24957986012 is an apocalyptic number.

4957986012 is a gapful number since it is divisible by the number (42) 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 4957986012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205844240).

4957986012 is an abundant number, since it is smaller than the sum of its proper divisors (9453702468).

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

4957986012 is a wasteful number, since it uses less digits than its factorization.

4957986012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 4957986012 is about 70412.9676409111. The cubic root of 4957986012 is about 1705.1729412959.

The spelling of 4957986012 in words is "four billion, nine hundred fifty-seven million, nine hundred eighty-six thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 89 98 102 119 147 178 196 204 238 267 294 356 357 476 534 588 623 714 833 1068 1246 1428 1513 1666 1869 2492 2499 3026 3332 3738 4361 4539 4998 5573 6052 7476 8722 9078 9996 10591 11146 13083 16719 17444 18156 21182 22292 26166 31773 33438 39011 42364 52332 63546 66876 74137 78022 94741 117033 127092 148274 156044 189482 222411 234066 273077 284223 296548 378964 444822 468132 495997 546154 568446 663187 819231 889644 991994 1092308 1136892 1326374 1487991 1638462 1983988 1989561 2652748 2975982 3276924 3471979 3979122 4642309 5951964 6943958 7958244 8431949 9284618 10415937 13887916 13926927 16863898 18569236 20831874 24303853 25295847 27853854 33727796 41663748 48607706 50591694 55707708 59023643 72911559 97215412 101183388 118047286 145823118 177070929 236094572 291646236 354141858 413165501 708283716 826331002 1239496503 1652662004 2478993006 4957986012