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90467266240 = 2651340953171
BaseRepresentation
bin101010001000001000…
…1001110111011000000
322122111211010021220101
41110100101032323000
52440234110004430
6105320551252144
76351602034541
oct1242021167300
9278454107811
1090467266240
113540446013a
121564937a054
1386b9885c90
144542db24c8
1525473cadca
hex151044eec0

90467266240 has 112 divisors (see below), whose sum is σ = 232567947360. Its totient is φ = 33321000960.

The previous prime is 90467266231. The next prime is 90467266247. The reversal of 90467266240 is 4266276409.

It is not an unprimeable number, because it can be changed into a prime (90467266247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1674855 + ... + 1728025.

It is an arithmetic number, because the mean of its divisors is an integer number (2076499530).

Almost surely, 290467266240 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 90467266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116283973680).

90467266240 is an abundant number, since it is smaller than the sum of its proper divisors (142100681120).

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

90467266240 is a wasteful number, since it uses less digits than its factorization.

90467266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53610 (or 53600 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 90467266240 in words is "ninety billion, four hundred sixty-seven million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 409 416 520 818 832 1040 1636 2045 2080 3272 4090 4160 5317 6544 8180 10634 13088 16360 21268 26176 26585 32720 42536 53170 53171 65440 85072 106340 106342 130880 170144 212680 212684 265855 340288 425360 425368 531710 691223 850720 850736 1063420 1382446 1701440 1701472 2126840 2764892 3402944 3456115 4253680 5529784 6912230 8507360 11059568 13824460 17014720 21746939 22119136 27648920 43493878 44238272 55297840 86987756 108734695 110595680 173975512 217469390 221191360 282710207 347951024 434938780 565420414 695902048 869877560 1130840828 1391804096 1413551035 1739755120 2261681656 2827102070 3479510240 4523363312 5654204140 6959020480 9046726624 11308408280 18093453248 22616816560 45233633120 90467266240