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4983726144 = 263194331771
BaseRepresentation
bin1001010010000110…
…11010000001000000
3110212022202112000210
410221003122001000
540201313214034
62142310314120
7234333654555
oct45103320100
913768675023
104983726144
112128202241
12b71058940
136156814a7
14353c66a2c
151e27de8e9
hex1290da040

4983726144 has 112 divisors (see below), whose sum is σ = 14203354880. Its totient is φ = 1537159680.

The previous prime is 4983726113. The next prime is 4983726149. The reversal of 4983726144 is 4416273894.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4983726093 and 4983726102.

It is not an unprimeable number, because it can be changed into a prime (4983726149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140979 + ... + 172749.

Almost surely, 24983726144 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 4983726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101677440).

4983726144 is an abundant number, since it is smaller than the sum of its proper divisors (9219628736).

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

4983726144 is a wasteful number, since it uses less digits than its factorization.

4983726144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31848 (or 31838 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 4983726144 is about 70595.5107921177. The cubic root of 4983726144 is about 1708.1187367979.

The spelling of 4983726144 in words is "four billion, nine hundred eighty-three million, seven hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 96 114 129 152 172 192 228 258 304 344 456 516 608 688 817 912 1032 1216 1376 1634 1824 2064 2451 2752 3268 3648 4128 4902 6536 8256 9804 13072 19608 26144 31771 39216 52288 63542 78432 95313 127084 156864 190626 254168 381252 508336 603649 762504 1016672 1207298 1366153 1525008 1810947 2033344 2414596 2732306 3050016 3621894 4098459 4829192 5464612 6100032 7243788 8196918 9658384 10929224 14487576 16393836 19316768 21858448 25956907 28975152 32787672 38633536 43716896 51913814 57950304 65575344 77870721 87433792 103827628 115900608 131150688 155741442 207655256 262301376 311482884 415310512 622965768 830621024 1245931536 1661242048 2491863072 4983726144