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66454500120 = 233519116011811
BaseRepresentation
bin111101111000111111…
…110011001100011000
320100112022212101101020
4331320333303030120
52042044323000440
650310114322440
74541542634211
oct757077631430
9210468771336
1066454500120
1126201918588
1210a67589420
136360a3a028
143305bb2408
151ade2173d0
hexf78ff3318

66454500120 has 128 divisors (see below), whose sum is σ = 200643194880. Its totient is φ = 17607680000.

The previous prime is 66454500103. The next prime is 66454500121. The reversal of 66454500120 is 2100545466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66454500121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36694015 + ... + 36695825.

It is an arithmetic number, because the mean of its divisors is an integer number (1567524960).

Almost surely, 266454500120 is an apocalyptic number.

66454500120 is a gapful number since it is divisible by the number (60) 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 66454500120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100321597440).

66454500120 is an abundant number, since it is smaller than the sum of its proper divisors (134188694760).

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

66454500120 is a wasteful number, since it uses less digits than its factorization.

66454500120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 66454500120 in words is "sixty-six billion, four hundred fifty-four million, five hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1601 1811 1910 2292 2865 3202 3622 3820 4584 4803 5433 5730 6404 7244 7640 8005 9055 9606 10866 11460 12808 14488 16010 18110 19212 21732 22920 24015 27165 32020 36220 38424 43464 48030 54330 64040 72440 96060 108660 192120 217320 305791 345901 611582 691802 917373 1037703 1223164 1383604 1528955 1729505 1834746 2075406 2446328 2767208 2899411 3057910 3459010 3669492 4150812 4586865 5188515 5798822 6115820 6918020 7338984 8301624 8698233 9173730 10377030 11597644 12231640 13836040 14497055 17396466 18347460 20754060 23195288 28994110 34792932 36694920 41508120 43491165 57988220 69585864 86982330 115976440 173964660 347929320 553787501 1107575002 1661362503 2215150004 2768937505 3322725006 4430300008 5537875010 6645450012 8306812515 11075750020 13290900024 16613625030 22151500040 33227250060 66454500120