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4166691640 = 2351989229269
BaseRepresentation
bin1111100001011010…
…1010101100111000
3101202101100212101121
43320112222230320
532013133113030
61525242355024
7205153203016
oct37026525470
911671325347
104166691640
111848a97111
129834bba74
13515315c17
142b75458b6
15195c0047a
hexf85aab38

4166691640 has 128 divisors (see below), whose sum is σ = 10060200000. Its totient is φ = 1548619776.

The previous prime is 4166691623. The next prime is 4166691649. The reversal of 4166691640 is 461966614.

It is a super-2 number, since 2×41666916402 = 34722638445691779200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166691649) 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, 15489426 + ... + 15489694.

Almost surely, 24166691640 is an apocalyptic number.

4166691640 is a gapful number since it is divisible by the number (40) 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 4166691640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030100000).

4166691640 is an abundant number, since it is smaller than the sum of its proper divisors (5893508360).

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

4166691640 is a wasteful number, since it uses less digits than its factorization.

4166691640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 4166691640 is about 64549.9158791086. The cubic root of 4166691640 is about 1609.1521892014.

The spelling of 4166691640 in words is "four billion, one hundred sixty-six million, six hundred ninety-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 89 95 152 178 190 229 269 356 380 445 458 538 712 760 890 916 1076 1145 1345 1691 1780 1832 2152 2290 2690 3382 3560 4351 4580 5111 5380 6764 8455 8702 9160 10222 10760 13528 16910 17404 20381 20444 21755 23941 25555 33820 34808 40762 40888 43510 47882 51110 61601 67640 81524 87020 95764 101905 102220 119705 123202 163048 174040 191528 203810 204440 239410 246404 308005 387239 407620 454879 478820 492808 616010 774478 815240 909758 957640 1170419 1232020 1548956 1819516 1936195 2274395 2340838 2464040 3097912 3639032 3872390 4548790 4681676 5482489 5852095 7744780 9097580 9363352 10964978 11704190 15489560 18195160 21929956 23408380 27412445 43859912 46816760 54824890 104167291 109649780 208334582 219299560 416669164 520836455 833338328 1041672910 2083345820 4166691640