Search a number
-
+
4937451929344 = 28118811990189
BaseRepresentation
bin100011111011001011100…
…0100010111111100000000
3122111000102111212220211201
41013312113010113330000
51121343400143214334
614300122322150544
71016501442635044
oct107662704277400
918430374786751
104937451929344
111633a63993290
12678ab27b2454
1329a7a477677c
14130d8c72c024
158867b449c14
hex47d97117f00

4937451929344 has 72 divisors (see below), whose sum is σ = 10763791360560. Its totient is φ = 2241747763200.

The previous prime is 4937451929329. The next prime is 4937451929357. The reversal of 4937451929344 is 4439291547394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1485802 + ... + 3475990.

It is an arithmetic number, because the mean of its divisors is an integer number (149497102230).

Almost surely, 24937451929344 is an apocalyptic number.

4937451929344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4937451929344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381895680280).

4937451929344 is an abundant number, since it is smaller than the sum of its proper divisors (5826339431216).

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

4937451929344 is a wasteful number, since it uses less digits than its factorization.

4937451929344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991097 (or 1991083 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 64.

The spelling of 4937451929344 in words is "four trillion, nine hundred thirty-seven billion, four hundred fifty-one million, nine hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 881 1408 1762 2816 3524 7048 9691 14096 19382 28192 38764 56384 77528 112768 155056 225536 310112 620224 1240448 1990189 2480896 3980378 7960756 15921512 21892079 31843024 43784158 63686048 87568316 127372096 175136632 254744192 350273264 509488384 700546528 1401093056 1753356509 2802186112 3506713018 5604372224 7013426036 14026852072 19286921599 28053704144 38573843198 56107408288 77147686396 112214816576 154295372792 224429633152 308590745584 448859266304 617181491168 1234362982336 2468725964672 4937451929344