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44362038016 = 281717215923
BaseRepresentation
bin101001010100001011…
…101111101100000000
311020111200000000202001
4221110023233230000
51211323140204031
632214000233344
73130222046542
oct512413575400
9136450000661
1044362038016
11178a523983a
12872090b854
13424c9b354a
14220ba43692
151249922861
hexa542efb00

44362038016 has 72 divisors (see below), whose sum is σ = 93829975344. Its totient is φ = 20860600320.

The previous prime is 44362038013. The next prime is 44362038041. The reversal of 44362038016 is 61083026344.

It is not an unprimeable number, because it can be changed into a prime (44362038011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7486831 + ... + 7492753.

It is an arithmetic number, because the mean of its divisors is an integer number (1303194102).

Almost surely, 244362038016 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 44362038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46914987672).

44362038016 is an abundant number, since it is smaller than the sum of its proper divisors (49467937328).

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

44362038016 is a wasteful number, since it uses less digits than its factorization.

44362038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

It can be divided in two parts, 443620 and 38016, that added together give a square (481636 = 6942).

The spelling of 44362038016 in words is "forty-four billion, three hundred sixty-two million, thirty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 1721 2176 3442 4352 5923 6884 11846 13768 23692 27536 29257 47384 55072 58514 94768 100691 110144 117028 189536 201382 220288 234056 379072 402764 440576 468112 758144 805528 936224 1516288 1611056 1872448 3222112 3744896 6444224 7489792 10193483 12888448 20386966 25776896 40773932 81547864 163095728 173289211 326191456 346578422 652382912 693156844 1304765824 1386313688 2609531648 2772627376 5545254752 11090509504 22181019008 44362038016