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10482540345088 = 28753891240117
BaseRepresentation
bin1001100010001010100000…
…0101111111011100000000
31101010010021021000121011021
42120202220011333130000
52333221220312020323
634143340151155224
72131224056531650
oct230425005773400
941103237017137
1010482540345088
113381690822349
121213705675b14
135b0664cb5736
142835015c0360
15132a1cd5505d
hex988a817f700

10482540345088 has 144 divisors (see below), whose sum is σ = 24638267586240. Its totient is φ = 4358223986688.

The previous prime is 10482540345019. The next prime is 10482540345181. The reversal of 10482540345088 is 88054304528401.

It is a super-2 number, since 2×104825403450882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7832806 + ... + 9072922.

It is an arithmetic number, because the mean of its divisors is an integer number (171099080460).

Almost surely, 210482540345088 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 10482540345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319133793120).

10482540345088 is an abundant number, since it is smaller than the sum of its proper divisors (14155727241152).

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

10482540345088 is an equidigital number, since it uses as much as digits as its factorization.

10482540345088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240282 (or 1240268 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 52.

The spelling of 10482540345088 in words is "ten trillion, four hundred eighty-two billion, five hundred forty million, three hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 89 106 112 128 178 212 224 256 356 371 424 448 623 712 742 848 896 1246 1424 1484 1696 1792 2492 2848 2968 3392 4717 4984 5696 5936 6784 9434 9968 11392 11872 13568 18868 19936 22784 23744 33019 37736 39872 47488 66038 75472 79744 94976 132076 150944 159488 264152 301888 528304 603776 1056608 1207552 1240117 2113216 2480234 4226432 4960468 8452864 8680819 9920936 17361638 19841872 34723276 39683744 65726201 69446552 79367488 110370413 131452402 138893104 158734976 220740826 262904804 277786208 317469952 441481652 460083407 525809608 555572416 772592891 882963304 920166814 1051619216 1111144832 1545185782 1765926608 1840333628 2103238432 2222289664 3090371564 3531853216 3680667256 4206476864 5849631889 6180743128 7063706432 7361334512 8412953728 11699263778 12361486256 14127412864 14722669024 16825907456 23398527556 24722972512 28254825728 29445338048 40947423223 46797055112 49445945024 58890676096 81894846446 93594110224 98891890048 117781352192 163789692892 187188220448 197783780096 327579385784 374376440896 655158771568 748752881792 1310317543136 1497505763584 2620635086272 5241270172544 10482540345088