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9104643680 = 2551141126173
BaseRepresentation
bin10000111101010110…
…11101011001100000
3212111111222211011012
420132223131121200
5122121242044210
64103240040052
7441423123446
oct103653353140
925444884135
109104643680
113952374610
121921163028
13b2135b632
14625294b96
1538449c305
hex21eadd660

9104643680 has 96 divisors (see below), whose sum is σ = 24037661088. Its totient is φ = 3230003200.

The previous prime is 9104643643. The next prime is 9104643689. The reversal of 9104643680 is 863464019.

9104643680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9104643689) by changing a digit.

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, 9074 + ... + 135246.

It is an arithmetic number, because the mean of its divisors is an integer number (250392303).

Almost surely, 29104643680 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 9104643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12018830544).

9104643680 is an abundant number, since it is smaller than the sum of its proper divisors (14933017408).

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

9104643680 is a wasteful number, since it uses less digits than its factorization.

9104643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126240 (or 126232 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 9104643680 is about 95418.2565340617. The cubic root of 9104643680 is about 2088.1145423382.

The spelling of 9104643680 in words is "nine billion, one hundred four million, six hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 160 164 176 205 220 328 352 410 440 451 656 820 880 902 1312 1640 1760 1804 2255 3280 3608 4510 6560 7216 9020 14432 18040 36080 72160 126173 252346 504692 630865 1009384 1261730 1387903 2018768 2523460 2775806 4037536 5046920 5173093 5551612 6939515 10093840 10346186 11103224 13879030 20187680 20692372 22206448 25865465 27758060 41384744 44412896 51730930 55516120 56904023 82769488 103461860 111032240 113808046 165538976 206923720 222064480 227616092 284520115 413847440 455232184 569040230 827694880 910464368 1138080460 1820928736 2276160920 4552321840 9104643680