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3975518656 = 26195635807
BaseRepresentation
bin1110110011110101…
…1001100111000000
3101021001122021100201
43230331121213000
531120213044111
61454253054544
7200342231254
oct35475314700
911231567321
103975518656
11176009300a
1292b487454
134b482c605
14299dc0264
1518403b6c1
hexecf599c0

3975518656 has 56 divisors (see below), whose sum is σ = 8320308480. Its totient is φ = 1879471872.

The previous prime is 3975518623. The next prime is 3975518683. The reversal of 3975518656 is 6568155793.

It is a super-3 number, since 3×39755186563 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3975518597 and 3975518606.

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 7 ways as a sum of consecutive naturals, for example, 681705 + ... + 687511.

Almost surely, 23975518656 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 3975518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160154240).

3975518656 is an abundant number, since it is smaller than the sum of its proper divisors (4344789824).

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

3975518656 is a wasteful number, since it uses less digits than its factorization.

3975518656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6391 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 55.

The square root of 3975518656 is about 63051.7141400613. The cubic root of 3975518656 is about 1584.1559466230.

The spelling of 3975518656 in words is "three billion, nine hundred seventy-five million, five hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 563 608 1126 1216 2252 4504 5807 9008 10697 11614 18016 21394 23228 36032 42788 46456 85576 92912 110333 171152 185824 220666 342304 371648 441332 684608 882664 1765328 3269341 3530656 6538682 7061312 13077364 26154728 52309456 62117479 104618912 124234958 209237824 248469916 496939832 993879664 1987759328 3975518656