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44534882484 = 22341916771063
BaseRepresentation
bin101001011110011111…
…000110000010110100
311020221201020102210000
4221132133012002310
51212201412214414
632243053031300
73134421153351
oct513637060264
9136851212700
1044534882484
1117983864404
12876a785530
134279750491
142226997628
151259bb5b09
hexa5e7c60b4

44534882484 has 120 divisors (see below), whose sum is σ = 117315652608. Its totient is φ = 14731554240.

The previous prime is 44534882479. The next prime is 44534882489. The reversal of 44534882484 is 48428843544.

It is a happy number.

44534882484 is a `hidden beast` number, since 4 + 4 + 534 + 8 + 8 + 24 + 84 = 666.

44534882484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44534882479) and next prime (44534882489).

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 44534882484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44534882489) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41894937 + ... + 41895999.

Almost surely, 244534882484 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 44534882484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58657826304).

44534882484 is an abundant number, since it is smaller than the sum of its proper divisors (72780770124).

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

44534882484 is a wasteful number, since it uses less digits than its factorization.

44534882484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1936 counting only the distinct ones).

The product of its digits is 15728640, while the sum is 54.

The spelling of 44534882484 in words is "forty-four billion, five hundred thirty-four million, eight hundred eighty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 191 324 382 573 677 764 1063 1146 1354 1719 2031 2126 2292 2708 3189 3438 4062 4252 5157 6093 6378 6876 8124 9567 10314 12186 12756 15471 18279 19134 20628 24372 28701 30942 36558 38268 54837 57402 61884 73116 86103 109674 114804 129307 172206 203033 219348 258614 344412 387921 406066 517228 609099 719651 775842 812132 1163763 1218198 1439302 1551684 1827297 2158953 2327526 2436396 2878604 3491289 3654594 4317906 4655052 5481891 6476859 6982578 7309188 8635812 10473867 10963782 12953718 13965156 16445673 19430577 20947734 21927564 25907436 32891346 38861154 41895468 58291731 65782692 77722308 116583462 137453341 233166924 274906682 412360023 549813364 824720046 1237080069 1649440092 2474160138 3711240207 4948320276 7422480414 11133720621 14844960828 22267441242 44534882484