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44778260484 = 22336121132213
BaseRepresentation
bin101001101100111111…
…100000100000000100
311021120200012022122000
4221230333200200010
51213201213313414
632323145305300
73143434635246
oct515477404004
9137520168560
1044778260484
1117a99184951
128818195230
1342b7cb4a29
14224b02c096
15127123cb09
hexa6cfe0804

44778260484 has 96 divisors (see below), whose sum is σ = 118557828480. Its totient is φ = 14611363200.

The previous prime is 44778260477. The next prime is 44778260497. The reversal of 44778260484 is 48406287744.

It is a super-2 number, since 2×447782604842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 44778260484.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1373962 + ... + 1406174.

It is an arithmetic number, because the mean of its divisors is an integer number (1234977380).

Almost surely, 244778260484 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 44778260484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59278914240).

44778260484 is an abundant number, since it is smaller than the sum of its proper divisors (73779567996).

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

44778260484 is a wasteful number, since it uses less digits than its factorization.

44778260484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32498 (or 32490 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 44778260484 in words is "forty-four billion, seven hundred seventy-eight million, two hundred sixty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 211 244 366 422 549 633 732 844 1098 1266 1647 1899 2196 2532 3294 3798 5697 6588 7596 11394 12871 22788 25742 32213 38613 51484 64426 77226 96639 115839 128852 154452 193278 231678 289917 347517 386556 463356 579834 695034 869751 1159668 1390068 1739502 1964993 3479004 3929986 5894979 6796943 7859972 11789958 13593886 17684937 20390829 23579916 27187772 35369874 40781658 53054811 61172487 70739748 81563316 106109622 122344974 183517461 212219244 244689948 367034922 414613523 734069844 829227046 1243840569 1658454092 2487681138 3731521707 4975362276 7463043414 11194565121 14926086828 22389130242 44778260484