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10252854876 = 22311538317657
BaseRepresentation
bin10011000110001111…
…00010011001011100
3222110112112222210210
421203013202121130
5131444212324001
64413214132420
7512034554115
oct114307423134
928415488723
1010252854876
114391518690
121ba17b1110
13c751bc444
146d398320c
154001a7dd6
hex2631e265c

10252854876 has 96 divisors (see below), whose sum is σ = 26912487168. Its totient is φ = 3011407360.

The previous prime is 10252854847. The next prime is 10252854893. The reversal of 10252854876 is 67845825201.

It is a super-3 number, since 3×102528548763 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571840 + ... + 589496.

It is an arithmetic number, because the mean of its divisors is an integer number (280338408).

Almost surely, 210252854876 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 10252854876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456243584).

10252854876 is an abundant number, since it is smaller than the sum of its proper divisors (16659632292).

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

10252854876 is a wasteful number, since it uses less digits than its factorization.

10252854876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17811 (or 17809 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 10252854876 in words is "ten billion, two hundred fifty-two million, eight hundred fifty-four thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 83 106 132 159 166 212 249 318 332 498 583 636 913 996 1166 1749 1826 2332 2739 3498 3652 4399 5478 6996 8798 10956 13197 17596 17657 26394 35314 48389 52788 52971 70628 96778 105942 145167 193556 194227 211884 290334 388454 580668 582681 776908 935821 1165362 1465531 1871642 2330724 2807463 2931062 3743284 4396593 5614926 5862124 8793186 10294031 11229852 16120841 17586372 20588062 30882093 32241682 41176124 48362523 61764186 64483364 77673143 96725046 123528372 155346286 193450092 233019429 310692572 466038858 854404573 932077716 1708809146 2563213719 3417618292 5126427438 10252854876