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4641213696 = 28373723333
BaseRepresentation
bin1000101001010001…
…10100110100000000
3102222110021002021120
410110220310310000
534001122314241
62044313152240
7223004444160
oct42450646400
912873232246
104641213696
111a719315a9
12a963bb680
1358c71a3c2
143205885a0
151c26d4666
hex114a34d00

4641213696 has 144 divisors (see below), whose sum is σ = 14499187584. Its totient is φ = 1290166272.

The previous prime is 4641213667. The next prime is 4641213713. The reversal of 4641213696 is 6963121464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187246 + ... + 210578.

Almost surely, 24641213696 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 4641213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249593792).

4641213696 is an abundant number, since it is smaller than the sum of its proper divisors (9857973888).

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

4641213696 is a wasteful number, since it uses less digits than its factorization.

4641213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23396 (or 23382 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 4641213696 is about 68126.4537165997. The cubic root of 4641213696 is about 1668.0555968334.

The spelling of 4641213696 in words is "four billion, six hundred forty-one million, two hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 518 592 672 768 777 888 896 1036 1184 1344 1554 1776 1792 2072 2368 2688 3108 3552 4144 4736 5376 6216 7104 8288 9472 12432 14208 16576 23333 24864 28416 33152 46666 49728 66304 69999 93332 99456 139998 163331 186664 198912 279996 326662 373328 489993 559992 653324 746656 863321 979986 1119984 1306648 1493312 1726642 1959972 2239968 2589963 2613296 2986624 3453284 3919944 4479936 5179926 5226592 5973248 6043247 6906568 7839888 8959872 10359852 10453184 12086494 13813136 15679776 17919744 18129741 20719704 20906368 24172988 27626272 31359552 36259482 41439408 41812736 48345976 55252544 62719104 72518964 82878816 96691952 110505088 125438208 145037928 165757632 193383904 221010176 290075856 331515264 386767808 580151712 663030528 773535616 1160303424 1547071232 2320606848 4641213696