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13228787936 = 2572136110639
BaseRepresentation
bin11000101000111111…
…10100100011100000
31021010221022001111202
430110133310203200
5204043032203221
610024402500332
7645551561600
oct142437644340
937127261452
1013228787936
1156793401a1
1226923646a8
13132a8c8390
148d6cc2c00
15526595d0b
hex3147f48e0

13228787936 has 144 divisors (see below), whose sum is σ = 33164752320. Its totient is φ = 5147089920.

The previous prime is 13228787911. The next prime is 13228787953. The reversal of 13228787936 is 63978782231.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238105 + ... + 1248743.

It is an arithmetic number, because the mean of its divisors is an integer number (230310780).

Almost surely, 213228787936 is an apocalyptic number.

13228787936 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 13228787936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582376160).

13228787936 is an abundant number, since it is smaller than the sum of its proper divisors (19935964384).

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

13228787936 is a wasteful number, since it uses less digits than its factorization.

13228787936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10737 (or 10722 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 56.

The spelling of 13228787936 in words is "thirteen billion, two hundred twenty-eight million, seven hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 61 91 98 104 112 122 182 196 208 224 244 364 392 416 427 488 637 728 784 793 854 976 1274 1456 1568 1586 1708 1952 2548 2912 2989 3172 3416 5096 5551 5978 6344 6832 10192 10639 11102 11956 12688 13664 20384 21278 22204 23912 25376 38857 42556 44408 47824 74473 77714 85112 88816 95648 138307 148946 155428 170224 177632 276614 297892 310856 340448 521311 553228 595784 621712 648979 968149 1042622 1106456 1191568 1243424 1297958 1936298 2085244 2212912 2383136 2595916 3872596 4170488 4425824 4542853 5191832 6777043 7745192 8340976 8436727 9085706 10383664 13554086 15490384 16681952 16873454 18171412 20767328 27108172 30980768 31799971 33746908 36342824 54216344 59057089 63599942 67493816 72685648 108432688 118114178 127199884 134987632 145371296 216865376 236228356 254399768 269975264 413399623 472456712 508799536 826799246 944913424 1017599072 1653598492 1889826848 3307196984 6614393968 13228787936