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18725830656 = 21531314653
BaseRepresentation
bin10001011100001001…
…011000000000000000
31210100000221202111120
4101130021120000000
5301322303040111
612334051312240
71232020635321
oct213411300000
953300852446
1018725830656
117a3a274805
1237672ab680
1319c5714c90
14c98daa448
15748e7e406
hex45c258000

18725830656 has 128 divisors (see below), whose sum is σ = 53779593840. Its totient is φ = 5761400832.

The previous prime is 18725830639. The next prime is 18725830759. The reversal of 18725830656 is 65603852781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 18725830599 and 18725830608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1270626 + ... + 1285278.

Almost surely, 218725830656 is an apocalyptic number.

18725830656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18725830656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889796920).

18725830656 is an abundant number, since it is smaller than the sum of its proper divisors (35053763184).

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

18725830656 is an equidigital number, since it uses as much as digits as its factorization.

18725830656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14699 (or 14671 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 18725830656 in words is "eighteen billion, seven hundred twenty-five million, eight hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 8192 9984 12288 13312 14653 16384 19968 24576 26624 29306 32768 39936 43959 49152 53248 58612 79872 87918 98304 106496 117224 159744 175836 190489 212992 234448 319488 351672 380978 425984 468896 571467 638976 703344 761956 937792 1142934 1277952 1406688 1523912 1875584 2285868 2813376 3047824 3751168 4571736 5626752 6095648 7502336 9143472 11253504 12191296 15004672 18286944 22507008 24382592 30009344 36573888 45014016 48765184 60018688 73147776 90028032 97530368 120037376 146295552 180056064 195060736 240074752 292591104 360112128 390121472 480149504 585182208 720224256 780242944 1170364416 1440448512 1560485888 2340728832 3120971776 4681457664 6241943552 9362915328 18725830656