Search a number
-
+
45650646880 = 2555313938729
BaseRepresentation
bin101010100000111111…
…011001011101100000
311100211110202010210021
4222200333121131200
51221443031200010
632545511443224
73204160044646
oct524077313540
9140743663707
1045650646880
11183a6666743
128a20386514
1343c69606b7
1422d0c3b196
1512c2b128da
hexaa0fd9760

45650646880 has 96 divisors (see below), whose sum is σ = 110677946400. Its totient is φ = 17786376192.

The previous prime is 45650646863. The next prime is 45650646911. The reversal of 45650646880 is 8864605654.

45650646880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159356 + ... + 1198084.

It is an arithmetic number, because the mean of its divisors is an integer number (1152895275).

Almost surely, 245650646880 is an apocalyptic number.

45650646880 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 45650646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55338973200).

45650646880 is an abundant number, since it is smaller than the sum of its proper divisors (65027299520).

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

45650646880 is a wasteful number, since it uses less digits than its factorization.

45650646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38936 (or 38928 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 45650646880 in words is "forty-five billion, six hundred fifty million, six hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 139 160 212 265 278 424 530 556 695 848 1060 1112 1390 1696 2120 2224 2780 4240 4448 5560 7367 8480 11120 14734 22240 29468 36835 38729 58936 73670 77458 117872 147340 154916 193645 235744 294680 309832 387290 589360 619664 774580 1178720 1239328 1549160 2052637 3098320 4105274 5383331 6196640 8210548 10263185 10766662 16421096 20526370 21533324 26916655 32842192 41052740 43066648 53833310 65684384 82105480 86133296 107666620 164210960 172266592 215333240 285316543 328421920 430666480 570633086 861332960 1141266172 1426582715 2282532344 2853165430 4565064688 5706330860 9130129376 11412661720 22825323440 45650646880