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103454490672 = 243213471175833
BaseRepresentation
bin110000001011001011…
…1100100000000110000
3100220000220212122120200
41200112113210000300
53143333322200142
6115305404435200
710321461442611
oct1402627440060
9326026778520
10103454490672
113a9693aa075
1218072848b00
1399a9403970
145015b73c08
152a5765764c
hex18165e4030

103454490672 has 120 divisors (see below), whose sum is σ = 318434660544. Its totient is φ = 31154844672.

The previous prime is 103454490647. The next prime is 103454490679. The reversal of 103454490672 is 276094454301.

103454490672 is a `hidden beast` number, since 1 + 0 + 34 + 544 + 9 + 0 + 6 + 72 = 666.

It is a super-3 number, since 3×1034544906723 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103454490679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499933 + ... + 675900.

Almost surely, 2103454490672 is an apocalyptic number.

103454490672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103454490672 is an abundant number, since it is smaller than the sum of its proper divisors (214980169872).

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

103454490672 is a wasteful number, since it uses less digits than its factorization.

103454490672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175907 (or 1175898 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 103454490672 in words is "one hundred three billion, four hundred fifty-four million, four hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 564 611 624 752 846 936 1128 1222 1692 1833 1872 2256 2444 3384 3666 4888 5499 6768 7332 9776 10998 14664 21996 29328 43992 87984 1175833 2351666 3527499 4703332 7054998 9406664 10582497 14109996 15285829 18813328 21164994 28219992 30571658 42329988 45857487 55264151 56439984 61143316 84659976 91714974 110528302 122286632 137572461 165792453 169319952 183429948 221056604 244573264 275144922 331584906 366859896 442113208 497377359 550289844 663169812 718433963 733719792 884226416 994754718 1100579688 1326339624 1436867926 1989509436 2155301889 2201159376 2652679248 2873735852 3979018872 4310603778 5747471704 6465905667 7958037744 8621207556 11494943408 12931811334 17242415112 25863622668 34484830224 51727245336 103454490672