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13325470496 = 2513611373833
BaseRepresentation
bin11000110100100001…
…01000101100100000
31021101200020001001022
430122100220230200
5204242310023441
610042135025012
7651134426132
oct143220505440
937350201038
1013325470496
115718976238
1226ba80b168
131344949bb0
14905a8d052
1552ece284b
hex31a428b20

13325470496 has 96 divisors (see below), whose sum is σ = 28932866928. Its totient is φ = 6003671040.

The previous prime is 13325470481. The next prime is 13325470513. The reversal of 13325470496 is 69407452331.

It can be written as a sum of positive squares in 8 ways, for example, as 434138896 + 12891331600 = 20836^2 + 113540^2 .

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, 3474596 + ... + 3478428.

Almost surely, 213325470496 is an apocalyptic number.

13325470496 is a gapful number since it is divisible by the number (16) 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 13325470496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466433464).

13325470496 is an abundant number, since it is smaller than the sum of its proper divisors (15607396432).

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

13325470496 is a wasteful number, since it uses less digits than its factorization.

13325470496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 13325470496 in words is "thirteen billion, three hundred twenty-five million, four hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 137 208 244 274 416 488 548 793 976 1096 1586 1781 1952 2192 3172 3562 3833 4384 6344 7124 7666 8357 12688 14248 15332 16714 25376 28496 30664 33428 49829 56992 61328 66856 99658 108641 122656 133712 199316 217282 233813 267424 398632 434564 467626 525121 797264 869128 935252 1050242 1594528 1738256 1870504 2100484 3039569 3476512 3741008 4200968 6079138 6826573 7482016 8401936 12158276 13653146 16803872 24316552 27306292 32032381 48633104 54612584 64064762 97266208 109225168 128129524 218450336 256259048 416420953 512518096 832841906 1025036192 1665683812 3331367624 6662735248 13325470496