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30191861568 = 2631134940961
BaseRepresentation
bin11100000111100100…
…110011111101000000
32212221010022110222010
4130013210303331000
5443313104032233
621511524212520
72116116406011
oct340744637500
985833273863
1030191861568
1111893578510
125a2723a140
132b0205cc5b
141665b0d008
15bba8c6b63
hex707933f40

30191861568 has 112 divisors (see below), whose sum is σ = 87396523200. Its totient is φ = 9122611200.

The previous prime is 30191861549. The next prime is 30191861573. The reversal of 30191861568 is 86516819103.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 716608 + ... + 757568.

It is an arithmetic number, because the mean of its divisors is an integer number (780326100).

Almost surely, 230191861568 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 30191861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43698261600).

30191861568 is an abundant number, since it is smaller than the sum of its proper divisors (57204661632).

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

30191861568 is a wasteful number, since it uses less digits than its factorization.

30191861568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41336 (or 41326 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 30191861568 in words is "thirty billion, one hundred ninety-one million, eight hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 349 352 528 698 704 1047 1056 1396 2094 2112 2792 3839 4188 5584 7678 8376 11168 11517 15356 16752 22336 23034 30712 33504 40961 46068 61424 67008 81922 92136 122848 122883 163844 184272 245696 245766 327688 368544 450571 491532 655376 737088 901142 983064 1310752 1351713 1802284 1966128 2621504 2703426 3604568 3932256 5406852 7209136 7864512 10813704 14295389 14418272 21627408 28590778 28836544 42886167 43254816 57181556 85772334 86509632 114363112 157249279 171544668 228726224 314498558 343089336 457452448 471747837 628997116 686178672 914904896 943495674 1257994232 1372357344 1886991348 2515988464 2744714688 3773982696 5031976928 7547965392 10063953856 15095930784 30191861568