Search a number
-
+
13475068512 = 2532317093571
BaseRepresentation
bin11001000110010110…
…10011101001100000
31021210002201101221120
430203023103221200
5210044104143022
610105041252240
7654632123013
oct144313235140
937702641846
1013475068512
115795363464
122740934080
131369937b29
1491b8b137a
1553cee2d5c
hex3232d3a60

13475068512 has 96 divisors (see below), whose sum is σ = 36941909760. Its totient is φ = 4292682240.

The previous prime is 13475068507. The next prime is 13475068549. The reversal of 13475068512 is 21586057431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 3771687 + ... + 3775257.

It is an arithmetic number, because the mean of its divisors is an integer number (384811560).

Almost surely, 213475068512 is an apocalyptic number.

13475068512 is a gapful number since it is divisible by the number (12) 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 13475068512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18470954880).

13475068512 is an abundant number, since it is smaller than the sum of its proper divisors (23466841248).

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

13475068512 is a wasteful number, since it uses less digits than its factorization.

13475068512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 13475068512 in words is "thirteen billion, four hundred seventy-five million, sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1709 2208 3418 3571 5127 6836 7142 10254 10713 13672 14284 20508 21426 27344 28568 39307 41016 42852 54688 57136 78614 82032 82133 85704 114272 117921 157228 164064 164266 171408 235842 246399 314456 328532 342816 471684 492798 628912 657064 943368 985596 1257824 1314128 1886736 1971192 2628256 3773472 3942384 6102839 7884768 12205678 18308517 24411356 36617034 48822712 73234068 97645424 140365297 146468136 195290848 280730594 292936272 421095891 561461188 585872544 842191782 1122922376 1684383564 2245844752 3368767128 4491689504 6737534256 13475068512