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52628713984 = 297114728403
BaseRepresentation
bin110001000000111010…
…100111001000000000
312000211210012200022001
4301000322213020000
51330240422321414
640102143553344
73542121454630
oct610072471000
9160753180261
1052628713984
112035759a850
12a2492bb854
134c695574a2
1427938c86c0
151580548074
hexc40ea7200

52628713984 has 160 divisors (see below), whose sum is σ = 133896001536. Its totient is φ = 20067717120.

The previous prime is 52628713967. The next prime is 52628713993. The reversal of 52628713984 is 48931782625.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1838727 + ... + 1867129.

Almost surely, 252628713984 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 52628713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66948000768).

52628713984 is an abundant number, since it is smaller than the sum of its proper divisors (81267287552).

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

52628713984 is a wasteful number, since it uses less digits than its factorization.

52628713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28486 (or 28470 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The spelling of 52628713984 in words is "fifty-two billion, six hundred twenty-eight million, seven hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 64 77 88 94 112 128 154 176 188 224 256 308 329 352 376 448 512 517 616 658 704 752 896 1034 1232 1316 1408 1504 1792 2068 2464 2632 2816 3008 3584 3619 4136 4928 5264 5632 6016 7238 8272 9856 10528 12032 14476 16544 19712 21056 24064 28403 28952 33088 39424 42112 56806 57904 66176 84224 113612 115808 132352 168448 198821 227224 231616 264704 312433 397642 454448 463232 624866 795284 908896 926464 1249732 1334941 1590568 1817792 1852928 2187031 2499464 2669882 3181136 3635584 4374062 4998928 5339764 6362272 7271168 8748124 9344587 9997856 10679528 12724544 14542336 14684351 17496248 18689174 19995712 21359056 25449088 29368702 34992496 37378348 39991424 42718112 50898176 58737404 69984992 74756696 79982848 85436224 101796352 102790457 117474808 139969984 149513392 159965696 170872448 205580914 234949616 279939968 299026784 341744896 411161828 469899232 559879936 598053568 683489792 822323656 939798464 1119759872 1196107136 1644647312 1879596928 2392214272 3289294624 3759193856 4784428544 6578589248 7518387712 13157178496 26314356992 52628713984