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1896317664 = 25342974597
BaseRepresentation
bin111000100000111…
…1000001011100000
311220011020220210120
41301001320023200
512340424131124
6512100400240
764664301633
oct16101701340
94804226716
101896317664
1189347058a
1244b0a6080
13242b44777
1413dbc9c1a
15b1731d79
hex710782e0

1896317664 has 48 divisors (see below), whose sum is σ = 4980075408. Its totient is φ = 631821312.

The previous prime is 1896317651. The next prime is 1896317671. The reversal of 1896317664 is 4667136981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×18963176643 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410214 + ... + 414810.

It is an arithmetic number, because the mean of its divisors is an integer number (103751571).

Almost surely, 21896317664 is an apocalyptic number.

It is an amenable number.

1896317664 is an abundant number, since it is smaller than the sum of its proper divisors (3083757744).

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

1896317664 is a wasteful number, since it uses less digits than its factorization.

1896317664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8907 (or 8899 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 1896317664 is about 43546.7296590685. The cubic root of 1896317664 is about 1237.7616713462.

It can be divided in two parts, 1896317 and 664, that added together give a palindrome (1896981).

The spelling of 1896317664 in words is "one billion, eight hundred ninety-six million, three hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4297 4597 8594 9194 12891 13791 17188 18388 25782 27582 34376 36776 51564 55164 68752 73552 103128 110328 137504 147104 206256 220656 412512 441312 19753309 39506618 59259927 79013236 118519854 158026472 237039708 316052944 474079416 632105888 948158832 1896317664