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10000561055982 = 23723211340714401
BaseRepresentation
bin1001000110000110111111…
…1000111010100011101110
31022102001012021221211221120
42101201233320322203232
52302322122112242412
633134105550241410
72051342140264110
oct221415770724356
938361167854846
1010000561055982
11320623a002752
1211562137b6266
1357708346a103
1426805b8593b0
1512520e31bb8c
hex9186fe3a8ee

10000561055982 has 128 divisors (see below), whose sum is σ = 23974012551168. Its totient is φ = 2719132416000.

The previous prime is 10000561055893. The next prime is 10000561055993. The reversal of 10000561055982 is 28955016500001.

It is a happy number.

It is a super-2 number, since 2×100005610559822 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694427982 + ... + 694442382.

It is an arithmetic number, because the mean of its divisors is an integer number (187296973056).

Almost surely, 210000561055982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000561055982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11987006275584).

10000561055982 is an abundant number, since it is smaller than the sum of its proper divisors (13973451495186).

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

10000561055982 is a wasteful number, since it uses less digits than its factorization.

10000561055982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18054.

The product of its (nonzero) digits is 108000, while the sum is 42.

Adding to 10000561055982 its reverse (28955016500001), we get a palindrome (38955577555983).

The spelling of 10000561055982 in words is "ten trillion, five hundred sixty-one million, fifty-five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 211 322 422 483 633 966 1266 1477 2954 3407 4431 4853 6814 8862 9706 10221 14401 14559 20442 23849 28802 29118 33971 43203 47698 67942 71547 78361 86406 100807 101913 143094 156722 201614 203826 235083 302421 331223 470166 548527 604842 662446 718877 993669 1097054 1437754 1645581 1987338 2156631 2318561 3038611 3291162 4313262 4637122 5032139 6077222 6955683 9115833 10064278 13911366 15096417 16534171 18231666 21270277 30192834 33068342 42540554 49064207 49602513 63810831 69888053 98128414 99205026 115739197 127621662 139776106 147192621 209664159 231478394 294385242 343449449 347217591 419328318 489216371 686898898 694435182 978432742 1030348347 1128476761 1467649113 2060696694 2256953522 2935298226 3385430283 6770860566 7899337327 10352547677 15798674654 20705095354 23698011981 31057643031 47396023962 62115286062 72467833739 144935667478 217403501217 238108596571 434807002434 476217193142 714325789713 1428651579426 1666760175997 3333520351994 5000280527991 10000561055982