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3960077568 = 28315732843
BaseRepresentation
bin1110110000001001…
…1111110100000000
3101012222120210011120
43230002133310000
531102234440233
61452542112240
7200064050436
oct35402376400
911188523146
103960077568
1117523a6987
1292627b680
134b1584285
14297d20d56
151829db4b3
hexec09fd00

3960077568 has 72 divisors (see below), whose sum is σ = 10607035488. Its totient is φ = 1311578112.

The previous prime is 3960077567. The next prime is 3960077573. The reversal of 3960077568 is 8657700693.

It is a self number, because there is not a number n which added to its sum of digits gives 3960077568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960077567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104155 + ... + 136997.

Almost surely, 23960077568 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 3960077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303517744).

3960077568 is an abundant number, since it is smaller than the sum of its proper divisors (6646957920).

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

3960077568 is a wasteful number, since it uses less digits than its factorization.

3960077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33019 (or 33005 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 3960077568 is about 62929.1472054087. The cubic root of 3960077568 is about 1582.1023085676.

The spelling of 3960077568 in words is "three billion, nine hundred sixty million, seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 628 768 942 1256 1884 2512 3768 5024 7536 10048 15072 20096 30144 32843 40192 60288 65686 98529 120576 131372 197058 262744 394116 525488 788232 1050976 1576464 2101952 3152928 4203904 5156351 6305856 8407808 10312702 12611712 15469053 20625404 25223424 30938106 41250808 61876212 82501616 123752424 165003232 247504848 330006464 495009696 660012928 990019392 1320025856 1980038784 3960077568