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10487541845034 = 23359179158311617
BaseRepresentation
bin1001100010011101001000…
…1101001100110000101010
31101010121011211020010021000
42120213102031030300222
52333311441203020114
634145524334455430
72131462030554312
oct230472215146052
941117154203230
1010487541845034
113383817a64281
121214680664576
135b0c8124ac67
14283857952442
15132c11ea5e09
hex989d234cc2a

10487541845034 has 128 divisors (see below), whose sum is σ = 23850173952000. Its totient is φ = 3414943977984.

The previous prime is 10487541844987. The next prime is 10487541845047. The reversal of 10487541845034 is 43054814578401.

It is a happy number.

10487541845034 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 7 + 54 + 1 + 84 + 503 + 4 = 666.

It is a super-2 number, since 2×104875418450342 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902769594 + ... + 902781210.

It is an arithmetic number, because the mean of its divisors is an integer number (186329484000).

Almost surely, 210487541845034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10487541845034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11925086976000).

10487541845034 is an abundant number, since it is smaller than the sum of its proper divisors (13362632106966).

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

10487541845034 is a wasteful number, since it uses less digits than its factorization.

10487541845034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13449 (or 13443 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 10487541845034 in words is "ten trillion, four hundred eighty-seven billion, five hundred forty-one million, eight hundred forty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 179 354 358 531 537 1062 1074 1583 1593 1611 3166 3186 3222 4749 4833 9498 9666 10561 11617 14247 21122 23234 28494 31683 34851 42741 63366 69702 85482 93397 95049 104553 186794 190098 209106 280191 283357 285147 313659 560382 566714 570294 627318 685403 840573 850071 1370806 1681146 1700142 2056209 2079443 2521719 2550213 4112418 4158886 5043438 5100426 6168627 6238329 7650639 12337254 12476658 15301278 16718063 18389711 18505881 18714987 33436126 36779422 37011762 37429974 50154189 55169133 56144961 100308378 110338266 112289922 122687137 150462567 165507399 245374274 300925134 331014798 368061411 451387701 496522197 736122822 902775402 993044394 1084992949 1104184233 2169985898 2208368466 3254978847 3291758269 3312552699 6509957694 6583516538 6625105398 9764936541 9875274807 19529873082 19750549614 29294809623 29625824421 58589619246 59251648842 88877473263 177754946526 194213737871 388427475742 582641213613 1165282427226 1747923640839 3495847281678 5243770922517 10487541845034