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13487107488 = 2531722916763
BaseRepresentation
bin11001000111110010…
…01110110110100000
31021210221101001022120
430203321032312200
5210110144414423
610110151304240
7655136344041
oct144371166640
937727331276
1013487107488
1157a1136528
12274497b080
13136c29179a
1491d3268c8
1553e0beee3
hex323e4eda0

13487107488 has 144 divisors (see below), whose sum is σ = 38907902880. Its totient is φ = 4085100544.

The previous prime is 13487107477. The next prime is 13487107523. The reversal of 13487107488 is 88470178431.

13487107488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 13487107488.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796195 + ... + 812957.

It is an arithmetic number, because the mean of its divisors is an integer number (270193770).

Almost surely, 213487107488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13487107488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19453951440).

13487107488 is an abundant number, since it is smaller than the sum of its proper divisors (25420795392).

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

13487107488 is a wasteful number, since it uses less digits than its factorization.

13487107488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16839 (or 16814 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 13487107488 in words is "thirteen billion, four hundred eighty-seven million, one hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 289 348 408 464 493 544 578 696 816 867 928 986 1156 1392 1479 1632 1734 1972 2312 2784 2958 3468 3944 4624 5916 6936 7888 8381 9248 11832 13872 15776 16762 16763 23664 25143 27744 33524 33526 47328 50286 50289 67048 67052 100572 100578 134096 134104 201144 201156 268192 268208 284971 402288 402312 486127 536416 569942 804576 804624 854913 972254 1139884 1458381 1609248 1709826 1944508 2279768 2916762 3419652 3889016 4559536 4844507 5833524 6839304 7778032 8264159 9119072 9689014 11667048 13678608 14533521 15556064 16528318 19378028 23334096 24792477 27357216 29067042 33056636 38756056 46668192 49584954 58134084 66113272 77512112 99169908 116268168 132226544 140490703 155024224 198339816 232536336 264453088 280981406 396679632 421472109 465072672 561962812 793359264 842944218 1123925624 1685888436 2247851248 3371776872 4495702496 6743553744 13487107488