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10143522396 = 22327174195651
BaseRepresentation
bin10010111001001100…
…11101111001011100
3222011220211022211200
421130212131321130
5131233220204041
64354310515500
7506236342410
oct113446357134
928156738750
1010143522396
114335832567
121b71065b90
13c5865bb77
146c3242d40
153e57ad1b6
hex25c99de5c

10143522396 has 144 divisors (see below), whose sum is σ = 31106799360. Its totient is φ = 2720678400.

The previous prime is 10143522373. The next prime is 10143522397. The reversal of 10143522396 is 69322534101.

10143522396 is a `hidden beast` number, since 1 + 0 + 1 + 43 + 522 + 3 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10143522396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143522397) 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 47 ways as a sum of consecutive naturals, for example, 1792171 + ... + 1797821.

It is an arithmetic number, because the mean of its divisors is an integer number (216019440).

Almost surely, 210143522396 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 10143522396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553399680).

10143522396 is an abundant number, since it is smaller than the sum of its proper divisors (20963276964).

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

10143522396 is a wasteful number, since it uses less digits than its factorization.

10143522396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10143522396 in words is "ten billion, one hundred forty-three million, five hundred twenty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 419 476 612 714 838 1071 1257 1428 1676 2142 2514 2933 3771 4284 5028 5651 5866 7123 7542 8799 11302 11732 14246 15084 16953 17598 21369 22604 26397 28492 33906 35196 39557 42738 49861 50859 52794 64107 67812 79114 85476 96067 99722 101718 105588 118671 128214 149583 158228 192134 199444 203436 237342 256428 288201 299166 356013 384268 448749 474684 576402 598332 672469 712026 864603 897498 1152804 1344938 1424052 1729206 1794996 2017407 2367769 2689876 3458412 4034814 4735538 6052221 7103307 8069628 9471076 12104442 14206614 16574383 21309921 24208884 28413228 33148766 40252073 42619842 49723149 66297532 80504146 85239684 99446298 120756219 149169447 161008292 198892596 241512438 281764511 298338894 362268657 483024876 563529022 596677788 724537314 845293533 1127058044 1449074628 1690587066 2535880599 3381174132 5071761198 10143522396