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4601983526656 = 2861330789113
BaseRepresentation
bin100001011110111101110…
…0101111110011100000000
3121021221112010220100110121
41002331323211332130000
51100344330240323111
613442042210110024
7653324304362515
oct102757345763400
917257463810417
104601983526656
11151476580009a
12623a8ab7b314
13274c71683149
1411ca46bd130c
157ea95034871
hex42f7b97e700

4601983526656 has 72 divisors (see below), whose sum is σ = 9339508646384. Its totient is φ = 2262560808960.

The previous prime is 4601983526597. The next prime is 4601983526663. The reversal of 4601983526656 is 6566253891064.

It is a super-2 number, since 2×46019835266562 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a junction number, because it is equal to n+sod(n) for n = 4601983526594 and 4601983526603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51597556 + ... + 51686668.

Almost surely, 24601983526656 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 4601983526656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669754323192).

4601983526656 is an abundant number, since it is smaller than the sum of its proper divisors (4737525119728).

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

4601983526656 is an equidigital number, since it uses as much as digits as its factorization.

4601983526656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92497 (or 92483 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 61.

The spelling of 4601983526656 in words is "four trillion, six hundred one billion, nine hundred eighty-three million, five hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3307 3904 6614 7808 13228 15616 26456 52912 89113 105824 178226 201727 211648 356452 403454 423296 712904 806908 846592 1425808 1613816 2851616 3227632 5435893 5703232 6455264 10871786 11406464 12910528 21743572 22812928 25821056 43487144 51642112 86974288 173948576 294696691 347897152 589393382 695794304 1178786764 1391588608 2357573528 4715147056 9430294112 17976498151 18860588224 35952996302 37721176448 71905992604 75442352896 143811985208 287623970416 575247940832 1150495881664 2300991763328 4601983526656