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6977137986 = 2387135843
BaseRepresentation
bin1100111111101111…
…01010110101000010
3200000020201100000000
412133313222311002
5103242121403421
63112200140430
7334620460110
oct63767526502
920006640000
106977137986
112a6045a045
121428767716
1387265cc20
144a28c8ab0
152ac800226
hex19fdead42

6977137986 has 144 divisors (see below), whose sum is σ = 19323630144. Its totient is φ = 1839809376.

The previous prime is 6977137967. The next prime is 6977137997. The reversal of 6977137986 is 6897317796.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1191181 + ... + 1197023.

It is an arithmetic number, because the mean of its divisors is an integer number (134191876).

Almost surely, 26977137986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6977137986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9661815072).

6977137986 is an abundant number, since it is smaller than the sum of its proper divisors (12346492158).

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

6977137986 is an equidigital number, since it uses as much as digits as its factorization.

6977137986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5868 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 63.

The square root of 6977137986 is about 83529.2642491241. The cubic root of 6977137986 is about 1910.8463657606.

The spelling of 6977137986 in words is "six billion, nine hundred seventy-seven million, one hundred thirty-seven thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 729 819 1053 1134 1458 1638 1701 2106 2187 2457 3159 3402 4374 4914 5103 5843 6318 6561 7371 9477 10206 11686 13122 14742 15309 17529 18954 22113 28431 30618 35058 40901 44226 45927 52587 56862 66339 75959 81802 85293 91854 105174 122703 132678 151918 157761 170586 199017 227877 245406 315522 368109 398034 455754 473283 531713 597051 683631 736218 946566 1063426 1104327 1194102 1367262 1419849 1595139 2050893 2208654 2839698 3190278 3312981 4101786 4259547 4785417 6152679 6625962 8519094 9570834 9938943 12305358 12778641 14356251 18458037 19877886 25557282 28712502 29816829 36916074 38335923 43068753 55374111 59633658 76671846 86137506 89450487 110748222 129206259 166122333 178900974 258412518 268351461 332244666 387618777 498366999 536702922 775237554 996733998 1162856331 2325712662 3488568993 6977137986