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10105550528 = 261273473583
BaseRepresentation
bin10010110100101011…
…00111011011000000
3222002021101011020012
421122111213123000
5131144010104103
64350433004052
7505265522303
oct113225473300
928067334205
1010105550528
114316357757
121b603b3628
13c508254c8
146bc19ab3a
153e22ac2d8
hex25a5676c0

10105550528 has 56 divisors (see below), whose sum is σ = 20275003392. Its totient is φ = 4997147904.

The previous prime is 10105550513. The next prime is 10105550579. The reversal of 10105550528 is 82505550101.

It is a super-2 number, since 2×101055505282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10105550494 and 10105550503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2818625 + ... + 2822207.

It is an arithmetic number, because the mean of its divisors is an integer number (362053632).

Almost surely, 210105550528 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 10105550528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10137501696).

10105550528 is an abundant number, since it is smaller than the sum of its proper divisors (10169452864).

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

10105550528 is a wasteful number, since it uses less digits than its factorization.

10105550528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 32.

The spelling of 10105550528 in words is "ten billion, one hundred five million, five hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 127 254 347 508 694 1016 1388 2032 2776 3583 4064 5552 7166 8128 11104 14332 22208 28664 44069 57328 88138 114656 176276 229312 352552 455041 705104 910082 1243301 1410208 1820164 2486602 2820416 3640328 4973204 7280656 9946408 14561312 19892816 29122624 39785632 79571264 157899227 315798454 631596908 1263193816 2526387632 5052775264 10105550528