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10479321403684 = 2272107221612
BaseRepresentation
bin1001100001111110100000…
…1110101101000100100100
31101002210221221000102200021
42120133220032231010210
52333143122234404214
634142044522124524
72131051232142100
oct230375016550444
941083857012607
1010479321403684
113380289811aa1
121212b67650744
135b0271144593
142832b7ca4900
151328d0464924
hex987e83ad124

10479321403684 has 81 divisors (see below), whose sum is σ = 21544110029169. Its totient is φ = 4447105649280.

The previous prime is 10479321403667. The next prime is 10479321403693. The reversal of 10479321403684 is 48630412397401.

It is a happy number.

The square root of 10479321403684 is 3237178.

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

It can be written as a sum of positive squares in only one way, i.e., 6569368834084 + 3909952569600 = 2563078^2 + 1977360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4849291564 + ... + 4849293724.

Almost surely, 210479321403684 is an apocalyptic number.

10479321403684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10479321403684 is the 3237178-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10479321403684

10479321403684 is an abundant number, since it is smaller than the sum of its proper divisors (11064788625485).

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

10479321403684 is an frugal number, since it uses more digits than its factorization.

10479321403684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 10479321403684 in words is "ten trillion, four hundred seventy-nine billion, three hundred twenty-one million, four hundred three thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 428 749 1498 2161 2996 4322 5243 8644 10486 11449 15127 20972 22898 30254 45796 60508 80143 105889 160286 211778 231227 320572 423556 462454 561001 924908 1122002 1618589 2244004 3237178 4669921 6474356 9339842 11330123 18679684 22660246 24741289 32689447 45320492 49482578 65378894 98965156 130757788 173189023 228826129 346378046 457652258 499681547 692756092 915304516 999363094 1212323161 1998726188 2424646322 3497770829 4849292644 6995541658 13991083316 24484395803 48968791606 53465925529 97937583212 106931851058 213863702116 374261478703 748522957406 1497045914812 2619830350921 5239660701842 10479321403684