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10523620493472 = 2531713614737911
BaseRepresentation
bin1001100100100011100010…
…1010010100100010100000
31101021001022012120100200110
42121020320222110202200
52334404333321242342
634214252353251320
72134210061165262
oct231107052244240
941231265510613
1010523620493472
1133980514668a9
12121b66b263b40
135b44b0a87c48
142854bb3ddb32
15133b245a0c9c
hex99238a948a0

10523620493472 has 96 divisors (see below), whose sum is σ = 29270971949184. Its totient is φ = 3299101491200.

The previous prime is 10523620493431. The next prime is 10523620493473. The reversal of 10523620493472 is 27439402632501.

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

It is a super-2 number, since 2×105236204934722 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10523620493473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147804 + ... + 4590107.

It is an arithmetic number, because the mean of its divisors is an integer number (304905957804).

Almost surely, 210523620493472 is an apocalyptic number.

10523620493472 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 10523620493472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635485974592).

10523620493472 is an abundant number, since it is smaller than the sum of its proper divisors (18747351455712).

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

10523620493472 is a wasteful number, since it uses less digits than its factorization.

10523620493472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739302 (or 4739294 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 10523620493472 in words is "ten trillion, five hundred twenty-three billion, six hundred twenty million, four hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1361 1632 2722 4083 5444 8166 10888 16332 21776 23137 32664 43552 46274 65328 69411 92548 130656 138822 185096 277644 370192 555288 740384 1110576 2221152 4737911 9475822 14213733 18951644 28427466 37903288 56854932 75806576 80544487 113709864 151613152 161088974 227419728 241633461 322177948 454839456 483266922 644355896 966533844 1288711792 1933067688 2577423584 3866135376 6448296871 7732270752 12896593742 19344890613 25793187484 38689781226 51586374968 77379562452 103172749936 109621046807 154759124904 206345499872 219242093614 309518249808 328863140421 438484187228 619036499616 657726280842 876968374456 1315452561684 1753936748912 2630905123368 3507873497824 5261810246736 10523620493472