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3987574656 = 273133721589
BaseRepresentation
bin1110110110101101…
…1000111110000000
3101021220022210002020
43231223120332000
531131304342111
61455403321440
7200546553042
oct35553307600
911256283066
103987574656
11176697794a
12933520280
134b7190c40
1429b83ba92
1518511d906
hexedad8f80

3987574656 has 128 divisors (see below), whose sum is σ = 11715597600. Its totient is φ = 1193730048.

The previous prime is 3987574639. The next prime is 3987574667. The reversal of 3987574656 is 6564757893.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3987574656.

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 15 ways as a sum of consecutive naturals, for example, 173910 + ... + 195498.

Almost surely, 23987574656 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 3987574656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857798800).

3987574656 is an abundant number, since it is smaller than the sum of its proper divisors (7728022944).

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

3987574656 is a wasteful number, since it uses less digits than its factorization.

3987574656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21656 (or 21644 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 60.

The square root of 3987574656 is about 63147.2458306774. The cubic root of 3987574656 is about 1585.7556800863.

The spelling of 3987574656 in words is "three billion, nine hundred eighty-seven million, five hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 296 312 384 416 444 481 592 624 832 888 962 1184 1248 1443 1664 1776 1924 2368 2496 2886 3552 3848 4736 4992 5772 7104 7696 11544 14208 15392 21589 23088 30784 43178 46176 61568 64767 86356 92352 129534 172712 184704 259068 280657 345424 518136 561314 690848 798793 841971 1036272 1122628 1381696 1597586 1683942 2072544 2245256 2396379 2763392 3195172 3367884 4145088 4490512 4792758 6390344 6735768 8290176 8981024 9585516 10384309 12780688 13471536 17962048 19171032 20768618 25561376 26943072 31152927 35924096 38342064 41537236 51122752 53886144 62305854 76684128 83074472 102245504 107772288 124611708 153368256 166148944 249223416 306736512 332297888 498446832 664595776 996893664 1329191552 1993787328 3987574656