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13975259136 = 211319111909
BaseRepresentation
bin11010000001111110…
…11000100000000000
31100001221220201111020
431000333120200000
5212110131243021
610230430145440
71003214512506
oct150077304000
940057821436
1013975259136
115a21740043
122860352280
131419458907
149680b6676
1556bd977c6
hex340fd8800

13975259136 has 96 divisors (see below), whose sum is σ = 37456473600. Its totient is φ = 4633640960.

The previous prime is 13975259113. The next prime is 13975259153. The reversal of 13975259136 is 63195257931.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1167550 + ... + 1179458.

It is an arithmetic number, because the mean of its divisors is an integer number (390171600).

Almost surely, 213975259136 is an apocalyptic number.

13975259136 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 13975259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18728236800).

13975259136 is an abundant number, since it is smaller than the sum of its proper divisors (23481214464).

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

13975259136 is a wasteful number, since it uses less digits than its factorization.

13975259136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12125 (or 12105 counting only the distinct ones).

The product of its digits is 1530900, while the sum is 51.

The spelling of 13975259136 in words is "thirteen billion, nine hundred seventy-five million, two hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 512 573 764 768 1024 1146 1528 1536 2048 2292 3056 3072 4584 6112 6144 9168 11909 12224 18336 23818 24448 35727 36672 47636 48896 71454 73344 95272 97792 142908 146688 190544 195584 285816 293376 381088 391168 571632 586752 762176 1143264 1173504 1524352 2274619 2286528 3048704 4549238 4573056 6097408 6823857 9098476 9146112 12194816 13647714 18196952 18292224 24389632 27295428 36393904 36584448 54590856 72787808 73168896 109181712 145575616 218363424 291151232 436726848 582302464 873453696 1164604928 1746907392 2329209856 3493814784 4658419712 6987629568 13975259136