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680223040974 = 233107223527921
BaseRepresentation
bin10011110011000000111…
…00111110010111001110
32102000202220122210012000
421321200130332113032
542121044044302344
61240253512253130
7100100363306601
oct11714034762716
92360686583160
10680223040974
1124253219a664
12ab9b93a11a6
134c1b6055c19
1424ccc8bc338
1512a62be7a69
hex9e6073e5ce

680223040974 has 64 divisors (see below), whose sum is σ = 1532578682880. Its totient is φ = 223614241920.

The previous prime is 680223040961. The next prime is 680223040993. The reversal of 680223040974 is 479040322086.

680223040974 is a `hidden beast` number, since 6 + 8 + 0 + 2 + 230 + 409 + 7 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024534 + ... + 1552454.

It is an arithmetic number, because the mean of its divisors is an integer number (23946541920).

Almost surely, 2680223040974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680223040974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766289341440).

680223040974 is an abundant number, since it is smaller than the sum of its proper divisors (852355641906).

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

680223040974 is a wasteful number, since it uses less digits than its factorization.

680223040974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528262 (or 528256 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 680223040974 in words is "six hundred eighty billion, two hundred twenty-three million, forty thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 107 214 223 321 446 642 669 963 1338 1926 2007 2889 4014 5778 6021 12042 23861 47722 71583 143166 214749 429498 527921 644247 1055842 1288494 1583763 3167526 4751289 9502578 14253867 28507734 56487547 112975094 117726383 169462641 235452766 338925282 353179149 508387923 706358298 1016775846 1059537447 1525163769 2119074894 3050327538 3178612341 6357224682 12596722981 25193445962 37790168943 75580337886 113370506829 226741013658 340111520487 680223040974