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10559001948 = 22311673313607
BaseRepresentation
bin10011101010101110…
…11001010101011100
31000020212121212122020
421311113121111130
5133111101030243
64503432020140
7522443015145
oct116527312534
930225555566
1010559001948
1145293104a0
122068231650
13cc3760161
147224b6acc
1541becd283
hex2755d955c

10559001948 has 96 divisors (see below), whose sum is σ = 27368613888. Its totient is φ = 3141547200.

The previous prime is 10559001941. The next prime is 10559001949. The reversal of 10559001948 is 84910095501.

It is a super-2 number, since 2×105590019482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10559001941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2925561 + ... + 2929167.

It is an arithmetic number, because the mean of its divisors is an integer number (285089728).

Almost surely, 210559001948 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 10559001948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684306944).

10559001948 is an abundant number, since it is smaller than the sum of its proper divisors (16809611940).

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

10559001948 is a wasteful number, since it uses less digits than its factorization.

10559001948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The spelling of 10559001948 in words is "ten billion, five hundred fifty-nine million, one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 331 402 662 737 804 993 1324 1474 1986 2211 2948 3607 3641 3972 4422 7214 7282 8844 10821 10923 14428 14564 21642 21846 22177 39677 43284 43692 44354 66531 79354 88708 119031 133062 158708 238062 241669 243947 266124 476124 483338 487894 725007 731841 966676 975788 1193917 1450014 1463682 2387834 2658359 2900028 2927364 3581751 4775668 5316718 7163502 7975077 10633436 13133087 14327004 15950154 26266174 31900308 39399261 52532348 78798522 79992439 157597044 159984878 239977317 319969756 479954634 879916829 959909268 1759833658 2639750487 3519667316 5279500974 10559001948