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681488141904 = 2433792252767
BaseRepresentation
bin10011110101010111101…
…10111100111001010000
32102011001002011120102000
421322223312330321100
542131141431020104
61241023223554000
7100143624425523
oct11725366747120
92364032146360
10681488141904
11243021320719
12b00b0bbb900
134c35819205b
1424dac916bba
1512ad8ce2639
hex9eabdbce50

681488141904 has 120 divisors (see below), whose sum is σ = 1981205694720. Its totient is φ = 224286349248.

The previous prime is 681488141891. The next prime is 681488141909. The reversal of 681488141904 is 409141884186.

681488141904 is a `hidden beast` number, since 6 + 8 + 148 + 81 + 419 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681488141909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2569729 + ... + 2822495.

It is an arithmetic number, because the mean of its divisors is an integer number (16510047456).

Almost surely, 2681488141904 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 681488141904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990602847360).

681488141904 is an abundant number, since it is smaller than the sum of its proper divisors (1299717552816).

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

681488141904 is a wasteful number, since it uses less digits than its factorization.

681488141904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252942 (or 252851 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 681488141904 in words is "six hundred eighty-one billion, four hundred eighty-eight million, one hundred forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 2133 2844 3792 4266 5688 6241 8532 11376 12482 17064 18723 24964 34128 37446 49928 56169 74892 99856 112338 149784 168507 224676 252767 299568 337014 449352 505534 674028 758301 898704 1011068 1348056 1516602 2022136 2274903 2696112 3033204 4044272 4549806 6066408 6824709 9099612 12132816 13649418 18199224 19968593 27298836 36398448 39937186 54597672 59905779 79874372 109195344 119811558 159748744 179717337 239623116 319497488 359434674 479246232 539152011 718869348 958492464 1078304022 1437738696 1577518847 2156608044 2875477392 3155037694 4313216088 4732556541 6310075388 8626432176 9465113082 12620150776 14197669623 18930226164 25240301552 28395339246 37860452328 42593008869 56790678492 75720904656 85186017738 113581356984 170372035476 227162713968 340744070952 681488141904