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2573420544 = 211355171
BaseRepresentation
bin1001100101100011…
…0100100000000000
320122100100022100000
42121120310200000
520232243424134
61103205200000
7120525466542
oct23130644000
96570308300
102573420544
1111006a0a42
125b9a00000
133201c7b66
141a5ac3692
15100dcee99
hex99634800

2573420544 has 144 divisors (see below), whose sum is σ = 7709279760. Its totient is φ = 857640960.

The previous prime is 2573420537. The next prime is 2573420569. The reversal of 2573420544 is 4450243752.

2573420544 is a `hidden beast` number, since 2 + 5 + 73 + 42 + 0 + 544 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2573420499 and 2573420508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495079 + ... + 500249.

It is an arithmetic number, because the mean of its divisors is an integer number (53536665).

Almost surely, 22573420544 is an apocalyptic number.

2573420544 is a gapful number since it is divisible by the number (24) 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 2573420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854639880).

2573420544 is an abundant number, since it is smaller than the sum of its proper divisors (5135859216).

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

2573420544 is an frugal number, since it uses more digits than its factorization.

2573420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 2573420544 is about 50728.8925958373. The cubic root of 2573420544 is about 1370.3670929189.

The spelling of 2573420544 in words is "two billion, five hundred seventy-three million, four hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 5171 5184 6144 6912 7776 9216 10342 10368 13824 15513 15552 18432 20684 20736 27648 31026 31104 41368 41472 46539 55296 62052 62208 82736 82944 93078 124104 124416 139617 165472 165888 186156 248208 248832 279234 330944 372312 418851 496416 497664 558468 661888 744624 837702 992832 1116936 1256553 1323776 1489248 1675404 1985664 2233872 2513106 2647552 2978496 3350808 3971328 4467744 5026212 5295104 5956992 6701616 7942656 8935488 10052424 10590208 11913984 13403232 15885312 17870976 20104848 23827968 26806464 31770624 35741952 40209696 47655936 53612928 71483904 80419392 95311872 107225856 142967808 160838784 214451712 285935616 321677568 428903424 643355136 857806848 1286710272 2573420544