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13191697872 = 24321910745061
BaseRepresentation
bin11000100100100100…
…10101010111010000
31021001100111200111200
430102102111113100
5204004033312442
610020555511200
7644621403363
oct142222252720
937040450450
1013191697872
11565a407951
122681a58500
1313230101b2
148d1dca0da
155231bb34c
hex3124955d0

13191697872 has 120 divisors (see below), whose sum is σ = 39225569760. Its totient is φ = 4126775040.

The previous prime is 13191697847. The next prime is 13191697873. The reversal of 13191697872 is 27879619131.

It is a happy number.

It is a super-2 number, since 2×131916978722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13191697873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270222 + ... + 315282.

It is an arithmetic number, because the mean of its divisors is an integer number (326879748).

Almost surely, 213191697872 is an apocalyptic number.

13191697872 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 13191697872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19612784880).

13191697872 is an abundant number, since it is smaller than the sum of its proper divisors (26033871888).

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

13191697872 is a wasteful number, since it uses less digits than its factorization.

13191697872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45201 (or 45192 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The spelling of 13191697872 in words is "thirteen billion, one hundred ninety-one million, six hundred ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 107 114 144 152 171 214 228 304 321 342 428 456 642 684 856 912 963 1284 1368 1712 1926 2033 2568 2736 3852 4066 5136 6099 7704 8132 12198 15408 16264 18297 24396 32528 36594 45061 48792 73188 90122 97584 135183 146376 180244 270366 292752 360488 405549 540732 720976 811098 856159 1081464 1622196 1712318 2162928 2568477 3244392 3424636 4821527 5136954 6488784 6849272 7705431 9643054 10273908 13698544 14464581 15410862 19286108 20547816 28929162 30821724 38572216 41095632 43393743 57858324 61643448 77144432 86787486 91609013 115716648 123286896 173574972 183218026 231433296 274827039 347149944 366436052 549654078 694299888 732872104 824481117 1099308156 1465744208 1648962234 2198616312 3297924468 4397232624 6595848936 13191697872