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4920722784 = 25352921821
BaseRepresentation
bin1001001010100110…
…00100010101100000
3110200221012121200000
410211103010111200
540034201112114
62132140100000
7232640311365
oct44523042540
913627177600
104920722784
1120a568a94a
12b53b34600
136055c24b3
1434974646c
151dbee6e09
hex1254c4560

4920722784 has 144 divisors (see below), whose sum is σ = 15012663120. Its totient is φ = 1583608320.

The previous prime is 4920722693. The next prime is 4920722803. The reversal of 4920722784 is 4872270294.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214594 + ... + 236414.

It is an arithmetic number, because the mean of its divisors is an integer number (104254605).

Almost surely, 24920722784 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 4920722784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506331560).

4920722784 is an abundant number, since it is smaller than the sum of its proper divisors (10091940336).

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

4920722784 is a wasteful number, since it uses less digits than its factorization.

4920722784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21875 (or 21855 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4920722784 is about 70147.8637165808. The cubic root of 4920722784 is about 1700.8902815488.

The spelling of 4920722784 in words is "four billion, nine hundred twenty million, seven hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 464 486 522 648 696 783 864 928 972 1044 1296 1392 1566 1944 2088 2349 2592 2784 3132 3888 4176 4698 6264 7047 7776 8352 9396 12528 14094 18792 21821 25056 28188 37584 43642 56376 65463 75168 87284 112752 130926 174568 196389 225504 261852 349136 392778 523704 589167 632809 698272 785556 1047408 1178334 1265618 1571112 1767501 1898427 2094816 2356668 2531236 3142224 3535002 3796854 4713336 5062472 5302503 5695281 6284448 7070004 7593708 9426672 10124944 10605006 11390562 14140008 15187416 17085843 18853344 20249888 21210012 22781124 28280016 30374832 34171686 42420024 45562248 51257529 56560032 60749664 68343372 84840048 91124496 102515058 136686744 153772587 169680096 182248992 205030116 273373488 307545174 410060232 546746976 615090348 820120464 1230180696 1640240928 2460361392 4920722784