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2057776006 = 2111323833769
BaseRepresentation
bin111101010100111…
…0010101110000110
312022102001212000011
41322221302232012
513203242313011
6540105140434
7101664543646
oct17251625606
95272055004
102057776006
11966619630
1249518a71a
1326a425c50
14157418526
15c09c6621
hex7aa72b86

2057776006 has 64 divisors (see below), whose sum is σ = 3830561280. Its totient is φ = 815696640.

The previous prime is 2057776003. The next prime is 2057776087. The reversal of 2057776006 is 6006777502.

It is a self number, because there is not a number n which added to its sum of digits gives 2057776006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057776003) 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 31 ways as a sum of consecutive naturals, for example, 544090 + ... + 547858.

It is an arithmetic number, because the mean of its divisors is an integer number (59852520).

Almost surely, 22057776006 is an apocalyptic number.

2057776006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2057776006 is a deficient number, since it is larger than the sum of its proper divisors (1772785274).

2057776006 is a wasteful number, since it uses less digits than its factorization.

2057776006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901.

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 2057776006 is about 45362.7160342059. The cubic root of 2057776006 is about 1271.9382654499.

The spelling of 2057776006 in words is "two billion, fifty-seven million, seven hundred seventy-six thousand, six".

Divisors: 1 2 11 13 22 23 26 46 83 143 166 253 286 299 506 598 913 1079 1826 1909 2158 3289 3769 3818 6578 7538 11869 20999 23738 24817 41459 41998 48997 49634 82918 86687 97994 173374 272987 312827 538967 545974 625654 953557 1077934 1126931 1907114 2253862 3441097 4066751 6882194 7195021 8133502 12396241 14390042 24792482 44734261 79145231 89468522 93535273 158290462 187070546 1028888003 2057776006