Search a number
-
+
2110039362004 = 2272831139191249
BaseRepresentation
bin11110101101001000001…
…001011000100111010100
321110201101021022121212011
4132231020021120213110
5234032330034041004
64253201054234004
7305305512435400
oct36551011304724
97421337277764
102110039362004
11743954236182
122a0b33ab5904
13123c8bc635b2
14741aad9c100
1539d4879d004
hex1eb482589d4

2110039362004 has 144 divisors (see below), whose sum is σ = 4393947600000. Its totient is φ = 883829366784.

The previous prime is 2110039361953. The next prime is 2110039362023. The reversal of 2110039362004 is 4002639300112.

It is a super-2 number, since 2×21100393620042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1689382372 + ... + 1689383620.

It is an arithmetic number, because the mean of its divisors is an integer number (30513525000).

Almost surely, 22110039362004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110039362004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196973800000).

2110039362004 is an abundant number, since it is smaller than the sum of its proper divisors (2283908237996).

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

2110039362004 is a wasteful number, since it uses less digits than its factorization.

2110039362004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 2110039362004 in words is "two trillion, one hundred ten billion, thirty-nine million, three hundred sixty-two thousand, four".

Divisors: 1 2 4 7 14 28 49 83 98 113 166 196 226 332 452 581 791 919 1162 1249 1582 1838 2324 2498 3164 3676 4067 4996 5537 6433 8134 8743 9379 11074 12866 16268 17486 18758 22148 25732 34972 37516 45031 61201 65653 76277 90062 103667 103847 122402 131306 141137 152554 180124 207334 207694 244804 262612 282274 305108 414668 415388 459571 533939 564548 725669 726929 919142 987959 1067878 1147831 1451338 1453858 1838284 1975918 2135756 2295662 2902676 2907716 3737573 3951836 4591324 5079683 5088503 6915713 7475146 8034817 8619301 10159366 10177006 11714371 13831426 14950292 16069634 17238602 20318732 20354012 23428742 27662852 32139268 34477204 46857484 56243719 60335107 82000597 95269973 112487438 120670214 129704903 164001194 190539946 224974876 241340428 259409806 328002388 381079892 422345749 518819612 574004179 666889811 844691498 907934321 1148008358 1333779622 1689382996 1815868642 2296016716 2667559244 3631737284 4668228677 6355540247 9336457354 10765506949 12711080494 18672914708 21531013898 25422160988 43062027796 75358548643 150717097286 301434194572 527509840501 1055019681002 2110039362004