Search a number
-
+
874180120576 = 2127220872
BaseRepresentation
bin11001011100010010011…
…00100001000000000000
310002120102010010022021211
430232021030201000000
5103310310102324301
61505332013455504
7120104666265100
oct14561114410000
93076363108254
10874180120576
11307812985274
121215091a1594
136458642c449
143044c1bb200
1517b158a7051
hexcb89321000

874180120576 has 117 divisors (see below), whose sum is σ = 2034533403759. Its totient is φ = 374469107712.

The previous prime is 874180120573. The next prime is 874180120591. The reversal of 874180120576 is 675021081478.

The square root of 874180120576 is 934976.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (874180120573) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 418868205 + ... + 418870291.

Almost surely, 2874180120576 is an apocalyptic number.

874180120576 is the 934976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874180120576

874180120576 is an abundant number, since it is smaller than the sum of its proper divisors (1160353283183).

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

874180120576 is an frugal number, since it uses more digits than its factorization.

874180120576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

Multiplying 874180120576 by its sum of digits (49), we get a square (42834825908224 = 65448322).

874180120576 divided by its sum of digits (49) gives a square (17840410624 = 1335682).

The spelling of 874180120576 in words is "eight hundred seventy-four billion, one hundred eighty million, one hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 2087 3136 3584 4096 4174 6272 7168 8348 12544 14336 14609 16696 25088 28672 29218 33392 50176 58436 66784 100352 102263 116872 133568 200704 204526 233744 267136 409052 467488 534272 818104 934976 1068544 1636208 1869952 2137088 3272416 3739904 4274176 4355569 6544832 7479808 8548352 8711138 13089664 14959616 17422276 26179328 29919232 30488983 34844552 52358656 59838464 60977966 69689104 104717312 121955932 139378208 209434624 213422881 243911864 278756416 418869248 426845762 487823728 557512832 853691524 975647456 1115025664 1707383048 1951294912 2230051328 3414766096 3902589824 4460102656 6829532192 7805179648 8920205312 13659064384 15610359296 17840410624 27318128768 31220718592 54636257536 62441437184 109272515072 124882874368 218545030144 437090060288 874180120576