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57884510464 = 2811213672
BaseRepresentation
bin110101111010001011…
…111000100100000000
312112102001220210122221
4311322023320210000
51422021413313324
642331453540424
74116301135504
oct657213704400
9175361823587
1057884510464
112260432a500
12b2754a4714
1355c63a7c31
142b31934304
15178bb7b0e4
hexd7a2f8900

57884510464 has 81 divisors (see below), whose sum is σ = 127094683891. Its totient is φ = 26291893760.

The previous prime is 57884510459. The next prime is 57884510471. The reversal of 57884510464 is 46401548875.

The square root of 57884510464 is 240592.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42343509 + ... + 42344875.

Almost surely, 257884510464 is an apocalyptic number.

57884510464 is the 240592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57884510464

57884510464 is an abundant number, since it is smaller than the sum of its proper divisors (69210173427).

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

57884510464 is an frugal number, since it uses more digits than its factorization.

57884510464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 52.

The spelling of 57884510464 in words is "fifty-seven billion, eight hundred eighty-four million, five hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1367 1408 1936 2734 2816 3872 5468 7744 10936 15037 15488 21872 30074 30976 43744 60148 87488 120296 165407 174976 240592 330814 349952 481184 661628 962368 1323256 1868689 1924736 2646512 3737378 3849472 5293024 7474756 10586048 14949512 20555579 21172096 29899024 41111158 42344192 59798048 82222316 119596096 164444632 226111369 239192192 328889264 452222738 478384384 657778528 904445476 1315557056 1808890952 2631114112 3617781904 5262228224 7235563808 14471127616 28942255232 57884510464