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49144738816 = 210618872
BaseRepresentation
bin101101110001010000…
…010011010000000000
311200211222111101211201
4231301100103100000
51301122023120231
634324330150544
73356565246625
oct556120232000
9150758441751
1049144738816
1119929a18728
129636582454
13483280bb14
142542cdc34c
151429754161
hexb71413400

49144738816 has 66 divisors (see below), whose sum is σ = 99964700498. Its totient is φ = 24142295040.

The previous prime is 49144738793. The next prime is 49144738817. The reversal of 49144738816 is 61883744194.

It can be written as a sum of positive squares in only one way, i.e., 29003452416 + 20141286400 = 170304^2 + 141920^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49144738817) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55405125 + ... + 55406011.

Almost surely, 249144738816 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 49144738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49982350249).

49144738816 is an abundant number, since it is smaller than the sum of its proper divisors (50819961682).

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

49144738816 is an frugal number, since it uses more digits than its factorization.

49144738816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 950 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 55.

The spelling of 49144738816 in words is "forty-nine billion, one hundred forty-four million, seven hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 887 976 1024 1774 1952 3548 3904 7096 7808 14192 15616 28384 31232 54107 56768 62464 108214 113536 216428 227072 432856 454144 786769 865712 908288 1573538 1731424 3147076 3462848 6294152 6925696 12588304 13851392 25176608 27702784 47992909 50353216 55405568 95985818 100706432 191971636 201412864 383943272 402825728 767886544 805651456 1535773088 3071546176 6143092352 12286184704 24572369408 49144738816