Search a number
-
+
416540541676 = 227192397103801
BaseRepresentation
bin1100000111110111100…
…00000100001011101100
31110211011102111221120111
412003323300010023230
523311033334313201
6515204525225404
742044156120410
oct6037360041354
91424142457514
10416540541676
11150721305156
126888a702264
13303833a28cc
1416236c40d40
15ac7dab4b51
hex60fbc042ec

416540541676 has 72 divisors (see below), whose sum is σ = 881458349856. Its totient is φ = 168694099200.

The previous prime is 416540541673. The next prime is 416540541707. The reversal of 416540541676 is 676145045614.

It is not an unprimeable number, because it can be changed into a prime (416540541673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3960976 + ... + 4064776.

Almost surely, 2416540541676 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 416540541676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440729174928).

416540541676 is an abundant number, since it is smaller than the sum of its proper divisors (464917808180).

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

416540541676 is a wasteful number, since it uses less digits than its factorization.

416540541676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104247 (or 104226 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 416540541676 in words is "four hundred sixteen billion, five hundred forty million, five hundred forty-one thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 397 532 722 794 1444 1588 2527 2779 5054 5558 7543 10108 11116 15086 30172 52801 103801 105602 143317 207602 211204 286634 415204 573268 726607 1003219 1453214 1972219 2006438 2906428 3944438 4012876 7888876 13805533 27611066 37472161 41208997 55222132 74944322 82417994 149888644 164835988 262305127 288462979 524610254 576925958 782970943 1049220508 1153851916 1565941886 3131883772 5480796601 10961593202 14876447917 21923186404 29752895834 59505791668 104135135419 208270270838 416540541676